Chapter 3 - Equations and Problem Solving - 3.2 - Equations and Problem Solving - Problem Set 3.2 - Page 106: 33

$y=-\dfrac{24}{7}$

Using the properties of equality, the value of the variable that satisfies the given equation, $ 14y+15=-33 ,$ is \begin{array}{l}\require{cancel} 14y=-33-15 \\\\ 14y=-48 \\\\ y=\dfrac{-48}{14} \\\\ y=\dfrac{\cancel{2}\cdot(-24)}{\cancel{2}\cdot7} \\\\ y=\dfrac{-24}{7} \\\\ y=-\dfrac{24}{7} .\end{array}