## Intermediate Algebra (12th Edition)

$y=\dfrac{3x+6}{2}$
$\bf{\text{Solution Outline:}}$ 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}