Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set - Page 94: 41

$y=-6$

By combining like terms and by using the properties of equality, the solution to the given equation, $ 2-5y=26-y $, is \begin{array}{l}\require{cancel} -5y+y=26-2 \\\\ -4y=24 \\\\ y=\dfrac{24}{-4} \\\\ y=-6 .\end{array}