Answer
$y=\left\{ 5,-3 \right\}$
Work Step by Step
Multiplying both sides by the $LCD=
30
$, then the solution to the given equation, $
\dfrac{y^2}{30}=\dfrac{y}{15}+\dfrac{1}{2}
$, is
\begin{array}{}
1(y^2)=2(y)+15(1)
\\\\
y^2=2y+15
\\\\
y^2-2y-15=0
\\\\
(y-5)(y+3)=0
.\end{array}
Equating each factor to zero, then $
y=\left\{ 5,-3 \right\}
$.
