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Simplifying 3(y + -4) + -3(y + -9) = 5(y + 4) Reorder the terms: 3(-4 + y) + -3(y + -9) = 5(y + 4) (-4 * 3 + y * 3) + -3(y + -9) = 5(y + 4) (-12 + 3y) + -3(y + -9) = 5(y + 4) Reorder the terms: -12 + 3y + -3(-9 + y) = 5(y + 4) -12 + 3y + (-9 * -3 + y * -3) = 5(y + 4) -12 + 3y + (27 + -3y) = 5(y + 4) Reorder the terms: -12 + 27 + 3y + -3y = 5(y + 4) Combine like terms: -12 + 27 = 15 15 + 3y + -3y = 5(y + 4) Combine like terms: 3y + -3y = 0 15 + 0 = 5(y + 4) 15 = 5(y + 4) Reorder the terms: 15 = 5(4 + y) 15 = (4 * 5 + y * 5) 15 = (20 + 5y) Solving 15 = 20 + 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. 15 + -5y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 15 + -5y = 20 + 0 15 + -5y = 20 Add '-15' to each side of the equation. 15 + -15 + -5y = 20 + -15 Combine like terms: 15 + -15 = 0 0 + -5y = 20 + -15 -5y = 20 + -15 Combine like terms: 20 + -15 = 5 -5y = 5 Divide each side by '-5'. y = -1 Simplifying y = -1
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