Chapter 6 - Section 6.2 - Equations with Variables in Both Members - Exercises - Page 240: 20

y=3

Simplifying 2y + 8 = 5y + -1 Reorder the terms: 8 + 2y = 5y + -1 Reorder the terms: 8 + 2y = -1 + 5y Solving 8 + 2y = -1 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 8 + 2y + -5y = -1 + 5y + -5y Combine like terms: 2y + -5y = -3y 8 + -3y = -1 + 5y + -5y Combine like terms: 5y + -5y = 0 8 + -3y = -1 + 0 8 + -3y = -1 Add '-8' to each side of the equation. 8 + -8 + -3y = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = -1 + -8 -3y = -1 + -8 Combine like terms: -1 + -8 = -9 -3y = -9 Divide each side by '-3'. y = 3 Simplifying y = 3