Chapter 1 - Section 1.2 - Formulas and Percent - 1.2 Exercises - Page 62: 31

$y=\dfrac{3}{2}x+\dfrac{5}{2}$

Using the properties of equality, in terms of $ y ,$ the given equation, $ -3x+2y=5 ,$ is equivalent to \begin{array}{l}\require{cancel} 2y=3x+5 \\\\ y=\dfrac{3}{2}x+\dfrac{5}{2} .\end{array}