Chapter 3 - Equations and Problem Solving - 3.2 - Equations and Problem Solving - Problem Set 3.2 - Page 106: 34

$y=-\dfrac{7}{3}$

Using the properties of equality, the value of the variable that satisfies the given equation, $ 12y+13=-15 ,$ is \begin{array}{l}\require{cancel} 12y=-15-13 \\\\ 12y=-28 \\\\ y=\dfrac{-28}{12} \\\\ y=\dfrac{\cancel{4}\cdot(-7)}{\cancel{4}\cdot3} \\\\ y=\dfrac{-7}{3} \\\\ y=-\dfrac{7}{3} .\end{array}