Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set - Page 95: 73

$y=0$

Using the properties of equality, the solution to the given equation, $ 4y-4+y+24=6y+20-4y $, is \begin{array}{l} 4y+y-6y+4y=20+4-24 \\\\ 3y=0 \\\\ y=0 .\end{array} CHECKING: \begin{array}{l} 4(0)-4+0+24=6(0)+20-4(0) \\\\ 0-4+0+24=0+20-0 \\\\ 20=20 \text{ (TRUE)} .\end{array} Hence, the solution is $ y=0 $.