Chapter 1 - Section 1.2 - Formulas and Percent - 1.2 Exercises - Page 62: 32

$y=\dfrac{5}{3}x+4$

Using the properties of equality, in terms of $ y ,$ the given equation, $ -5x+3y=12 ,$ is equivalent to \begin{array}{l}\require{cancel} 3y=5x+12 \\\\ y=\dfrac{5}{3}x+\dfrac{12}{3} \\\\ y=\dfrac{5}{3}x+4 .\end{array}