My MWE:
\documentclass{report}
\usepackage{amsmath}
\begin{document}
\begin{align}
y &= a \\
=& -2c_1\bar{z}_1^2 + 2\bar{z}_1\bar{z}_2 + 2\bar{z}_2 \left ( -\bar{z}_1 -c_2z_2 - \frac{3\epsilon}{2}\bar{z}_2 -\sigma_{2,1}\cos(x_1)\Delta x_1 \notag \right. \\
\left. &- \sigma_{2,2}\Delta x_2 -\sigma_{2,3} \Delta u +c_2 \chi_2 \vphantom{\frac{1}{1}} \right ) - 2\gamma \sigma_{2,1}^2\cos^2(x_1) \Delta x_1^2 - \gamma \sigma_{2,2}^2 \Delta x_2^2 - 2\gamma \sigma_{2,3}^2 \Delta u^2
\end{align}
\end{document}
The error I get:
Extra }, or forgotten \right.
The expected result:



&cannot be inside the pair\left,\right– Gonzalo Medina Jul 22 '14 at 18:21\leftand\rightcan't be separated by&or\\. you have\left.all alone at the beginning of the second line, before the&. (and this question has been asked many times before. here's just one instance: Using \left( & \right) around amsmath's align delimiter (“&”)) – barbara beeton Jul 22 '14 at 18:24