I would like to extend the following way of typesetting equations with a trailing brace to more than one set of equation.
\documentclass{article}
\usepackage{amsmath}
\begin{document}
This works
\begin{equation}
\left. \begin{split}
a&= b \\
c&= d
\end{split}\qquad\right\}\label{eq1} \\
\end{equation}
Here the alignment is off
\begin{align}
\left. \begin{aligned}
a&= b \\
c&= d
\end{aligned}\qquad\right\}\label{eq1} \\
\left. \begin{aligned}
aaaaaaaaaaaaaaaa&= b \\
c&= ddddddddddddddddddddddddddddddddddd
\end{aligned}\qquad\right\}\label{eq1}
\end{align}
\end{document}
How can I fix it so that the latter two sets are aligned?

