Solve for a
\left\{\begin{matrix}a=\frac{y}{\sin(\alpha )}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }\alpha =\pi n_{1}\\a\in \mathrm{R}\text{, }&y=0\text{ and }\exists n_{1}\in \mathrm{Z}\text{ : }\alpha =\pi n_{1}\end{matrix}\right.
Solve for y
y=a\sin(\alpha )
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a\sin(\alpha )=y
Swap sides so that all variable terms are on the left hand side.
\sin(\alpha )a=y
The equation is in standard form.
\frac{\sin(\alpha )a}{\sin(\alpha )}=\frac{y}{\sin(\alpha )}
Divide both sides by \sin(\alpha ).
a=\frac{y}{\sin(\alpha )}
Dividing by \sin(\alpha ) undoes the multiplication by \sin(\alpha ).
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