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I have an align environment in which the equations are numbered on the left. Can I add notes on the right (e.g. to explain where each equation comes from)?

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    Please help us to help you and add a minimal working example (MWE) that illustrates your problem. It will be much easier for us to reproduce your situation and find out what the issue is when we see compilable code, starting with \documentclass{...} and ending with \end{document}. –  Sep 08 '14 at 19:59
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    You can take a look at my answer to this question which seems to be more or less related: http://tex.stackexchange.com/questions/191993/how-to-properly-format-a-proof-explanation-with-multiple-points-of-alignment – Bernard Sep 08 '14 at 20:40

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% arara: pdflatex

\documentclass[leqno]{article}
\usepackage{mathtools}

\begin{document}
    \begin{align}
    x&=y &&\text{comment for equation (1)}\\
    y&=x &&\text{comment for equation (2)}
    \end{align}
\end{document}

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