Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises - Page 242: 6

y=3

Simplifying 5y + 6(y + -3) = 15 Reorder the terms: 5y + 6(-3 + y) = 15 5y + (-3 * 6 + y * 6) = 15 5y + (-18 + 6y) = 15 Reorder the terms: -18 + 5y + 6y = 15 Combine like terms: 5y + 6y = 11y -18 + 11y = 15 Solving -18 + 11y = 15 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 11y = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 11y = 15 + 18 11y = 15 + 18 Combine like terms: 15 + 18 = 33 11y = 33 Divide each side by '11'. y = 3 Simplifying y = 3