Solve for Y
\left\{\begin{matrix}Y=\frac{y+z}{12z}\text{, }&z\neq 0\\Y\in \mathrm{R}\text{, }&y=0\text{ and }z=0\end{matrix}\right.
Solve for y
y=z\left(12Y-1\right)
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12Yz=y+z
Swap sides so that all variable terms are on the left hand side.
12zY=y+z
The equation is in standard form.
\frac{12zY}{12z}=\frac{y+z}{12z}
Divide both sides by 12z.
Y=\frac{y+z}{12z}
Dividing by 12z undoes the multiplication by 12z.
y=12Yz-z
Subtract z from both sides.
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