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Simplifying 5(y + 3) = 2(y + 6) Reorder the terms: 5(3 + y) = 2(y + 6) (3 * 5 + y * 5) = 2(y + 6) (15 + 5y) = 2(y + 6) Reorder the terms: 15 + 5y = 2(6 + y) 15 + 5y = (6 * 2 + y * 2) 15 + 5y = (12 + 2y) Solving 15 + 5y = 12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 15 + 5y + -2y = 12 + 2y + -2y Combine like terms: 5y + -2y = 3y 15 + 3y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 15 + 3y = 12 + 0 15 + 3y = 12 Add '-15' to each side of the equation. 15 + -15 + 3y = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 3y = 12 + -15 3y = 12 + -15 Combine like terms: 12 + -15 = -3 3y = -3 Divide each side by '3'. y = -1 Simplifying y = -1
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