Answer
$y=\dfrac{3x+6}{2}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given formula, $
-3x+2y=6
$ for $
y
,$ use the properties of equality to isolate the variable.
$\bf{\text{Solution Details:}}$
Using the properties of equality to isolate the variable results to
\begin{array}{l}\require{cancel}
2y=3x+6
\\\\
\dfrac{2y}{2}=\dfrac{3x+6}{2}
\\\\
y=\dfrac{3x+6}{2}
.\end{array}