Question

solving for y
$\frac{x - 2}{y} = z$

Answer 1

$\bf \cfrac{x-2}{y}=z\implies \stackrel{\textit{multiplying both sides by \underline{y}}}{y\left( \cfrac{x-2}{y} \right)=y(z)}\implies x-2=yz \\\\\\ \stackrel{\textit{multiplying both sides by }\frac{1}{z}}{\cfrac{1}{z}(x-2)=\cfrac{1}{z}(yz)}\implies \cfrac{x-2}{z}=y$