How to add a shared ylabel on the right hand-side of a figure, when combining tiledlayout and yyaxis?

In addition to a shared ylabel on the left hand-side of a figure, I want to put a shared ylabel on the right hand-side of the tiledlayout, when also using yyaxis. How can I achieve this? I have prepared the following MWE:

figure
t = tiledlayout(4,1);

for i = 1:4
    nexttile
    title("Tile"+i)

    yyaxis left
    plot(rand(1,10))

    yyaxis right
    plot(rand(1,10))
end

title(t,"Tiles")
xlabel(t,"x")
ylabel(t,"y left")
% ylabel(t,"y right")

Thanks in advance!

Edit:

My yticklabels on the left as well as on the right hand-side are relatively long, therefore, both shared ylabels need to factor the necessary distance in. The shared ylabel on the left hand-side does this automatically, the one on the right hand-side should do the same. I have updated the MWE (unfortunately, it now acts a bit buggy but it should illustrate the point, nonetheless):

figure
t = tiledlayout(4,1);

longYTickLabels_left  = ["negative yticklabel left"  "0" "positive yticklabel left" ];%edit: added
longYTickLabels_right = ["negative yticklabel right" "0" "positive yticklabel right"];%edit: added
for i = 1:4
    nexttile
    title("Tile"+i)

    yyaxis left
    plot(rand(1,10))
    yticklabels(longYTickLabels_left)%edit: added

    yyaxis right
    plot(rand(1,10))
    yticklabels(longYTickLabels_right)%edit: added
end

title(t,"Tiles")
xlabel(t,"x")
ylabel(t,"y left")
% ylabel(t,"y right")

Answer 1

[Matt J]

One way.

t = tiledlayout(4,1);

for i = 1:4
    nexttile
    title("Tile"+i)

    yyaxis left
    plot(rand(1,10))

    yyaxis right
    plot(rand(1,10))
end

title(t,"Tiles")
xlabel(t,"x")
ylabel(t,"y left")

% Create invisible axes
axBig = axes(t.Parent);
axBig.Position = t.Position.*[1,1,1.05,1];
axBig.Color = 'none';
axBig.XTick = [];
axBig.YTick = [];
axBig.XColor='none';
axBig.YColor='none';

% Put ylabel on the right
axBig.YAxisLocation = 'right';
ylabel(axBig,'y right','Color','k');

[Simon]

Please see the edit to my original post above.

[Matt J]

I've seen it, but I don't know why you think it should change my answer.

[Simon]

When I tested your solution, the yticklabels and the ylabel on the right hand-side now unfortunately interfere with each other, and I thought you might have a solution to this:

t = tiledlayout(4,1);

longYTickLabels_left  = ["negative yticklabel left"  "0" "positive yticklabel left" ];%edit: added
longYTickLabels_right = ["negative yticklabel right" "0" "positive yticklabel right"];%edit: added
for i = 1:4
    nexttile
    title("Tile"+i)

    yyaxis left
    plot(rand(1,10))
    yticklabels(longYTickLabels_left)%edit: added

    yyaxis right
    plot(rand(1,10))
    yticklabels(longYTickLabels_right)%edit: added
end

title(t,"Tiles")
xlabel(t,"x")
ylabel(t,"y left")

% Create invisible axes
axBig = axes(t.Parent);
axBig.Position = t.Position.*[1,1,1.05,1];
axBig.Color = 'none';
axBig.XTick = [];
axBig.YTick = [];
axBig.XColor='none';
axBig.YColor='none';

% Put ylabel on the right
axBig.YAxisLocation = 'right';
ylabel(axBig,'y right','Color','k');

[Matt J]

Here's a modification that self-adjusts to the label sizes.

t = tiledlayout(4,1);

longYTickLabels_left  = ["negative yticklabel left"  "0" "positive yticklabel left" ];%edit: added
longYTickLabels_right = ["negative yticklabel right" "0" "positive yticklabel right"];%edit: added
for i = 1:4
    nexttile
    title("Tile"+i)

    yyaxis left
    plot(rand(1,10))
    yticklabels(longYTickLabels_left)%edit: added

    yyaxis right
    plot(rand(1,10))
    yticklabels(longYTickLabels_right)%edit: added
end

title(t,"Tiles")
xlabel(t,"x")

overlayAxis(t, 'y left','yright');

function axOverlay = overlayAxis(t, leftLabel, rightLabel)

    % Create invisible axes
    axOverlay= axes(t.Parent);
    t.OuterPosition=axOverlay.Position;
    axOverlay.Color = 'none';
     
    pos=["left","right"];
    labels={leftLabel, rightLabel};

    for i=1:2
    % Put ylabel on the right
    yyaxis(axOverlay,pos(i))
    axOverlay.XColor='none';
    axOverlay.YColor='none';
    axOverlay.XTick = [];
    axOverlay.YTick = [];
    ylabel(axOverlay,labels{i},'Color','k');
    end


end