Chapter 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set - Page 136: 89

$y\le-4$

Using the properties of inequality, the solution to the given inequality, $ 4(2y-3)\le-44 ,$ is \begin{array}{l}\require{cancel} 4(2y)+4(-3)\le-44 \\\\ 8y-12\le-44 \\\\ 8y\le-44+12 \\\\ 8y\le-32 \\\\ y\le-\dfrac{32}{8} \\\\ y\le-4 .\end{array}