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Simplifying 18 + -1(3 + -2y) = 3(y + -5) 18 + (3 * -1 + -2y * -1) = 3(y + -5) 18 + (-3 + 2y) = 3(y + -5) Combine like terms: 18 + -3 = 15 15 + 2y = 3(y + -5) Reorder the terms: 15 + 2y = 3(-5 + y) 15 + 2y = (-5 * 3 + y * 3) 15 + 2y = (-15 + 3y) Solving 15 + 2y = -15 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 15 + 2y + -3y = -15 + 3y + -3y Combine like terms: 2y + -3y = -1y 15 + -1y = -15 + 3y + -3y Combine like terms: 3y + -3y = 0 15 + -1y = -15 + 0 15 + -1y = -15 Add '-15' to each side of the equation. 15 + -15 + -1y = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = -15 + -15 -1y = -15 + -15 Combine like terms: -15 + -15 = -30 -1y = -30 Divide each side by '-1'. y = 30 Simplifying y = 30
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