Chapter 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set - Page 135: 76

$y\gt-\dfrac{1}{2}$

Remember, when we divide by a negative number, we flip the sign of the inequality. Using the properties of inequality, the solution to the given inequality, $ 8-2y\gt9 ,$ is \begin{array}{l}\require{cancel} -2y\gt9-8 \\\\ -2y\gt1 \\\\ y\lt\dfrac{1}{-2} \\\\ y\lt-\dfrac{1}{2} .\end{array}