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The first method is actually exactly what I need.

Thank you

How can I add a side-note to an equation line?

Something along the lines of

\begin{equation*}\begin{aligned}
X &= Y+Z \sidenote{Because $X=C$} \\
Y &= X-Z \sidenote{Rearranging}
\end{aligned}\end{equation*}


I do *not* want the side-note to appear in the margins
But I want it to be right ...