Another simple way is to use yyaxis to create two y axes but you'll ignore the right-side axes.
clf
ax = axes;
yyaxis(ax,'right')
ax.YTickLabels = '';
yyaxis(ax,'left') % * see footnote [1]
linkprop([ax.XAxis; ax.YAxis],'color'); % set axes colors to match
linkprop([ax.YAxis(1), ax.YAxis(2)],{'Limits','TickValues'}); % * see footnote [2]
box(ax,'off') % see footnote [3]
[1] It's important the you run yyaxis(ax,'left') after making changes to the right-side so that your plotting is all assigned to the left axes.
[2] This line links the y limits and ticks for the 2 y axes; otherwise you could remove the tick on the right using ax.YTick = [];
[3] You may need to call this line again after plotting or hold your axes using hold(ax,'on')
