[tex]\bf \cfrac{3}{2y}+12=\cfrac{7}{5y}-20\impliedby
\begin{array}{llll}
\textit{now, let's multiply both sides by 10y}\\
\textit{thus, getting rid of the denominators}
\end{array}
\\\\\\
10y\left( \cfrac{3}{2y}+12 \right)=10y\left( \cfrac{7}{5y}-20 \right)\implies 15+120y=14+200y
\\\\\\
1=200y-120y\implies 1=80y\implies \boxed{\cfrac{1}{80}=y}[/tex]
