Chapter 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set - Page 135: 75

$y\lt-\dfrac{10}{3}$

Using the properties of inequality, the solution to the given inequality, $ 5-6y\gt25 ,$ is \begin{array}{l}\require{cancel} -6y\gt25-5 \\\\ -6y\gt20 \\\\ y\lt\dfrac{20}{-6} \\\\ y\lt\dfrac{\cancel{2}\cdot10}{\cancel{2}\cdot(-3)} \\\\ y\lt\dfrac{10}{-3} \\\\ y\lt-\dfrac{10}{3} .\end{array}