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Simplifying 5(12 + -3y) + -9y = 4(3 + -2y) (12 * 5 + -3y * 5) + -9y = 4(3 + -2y) (60 + -15y) + -9y = 4(3 + -2y) Combine like terms: -15y + -9y = -24y 60 + -24y = 4(3 + -2y) 60 + -24y = (3 * 4 + -2y * 4) 60 + -24y = (12 + -8y) Solving 60 + -24y = 12 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 60 + -24y + 8y = 12 + -8y + 8y Combine like terms: -24y + 8y = -16y 60 + -16y = 12 + -8y + 8y Combine like terms: -8y + 8y = 0 60 + -16y = 12 + 0 60 + -16y = 12 Add '-60' to each side of the equation. 60 + -60 + -16y = 12 + -60 Combine like terms: 60 + -60 = 0 0 + -16y = 12 + -60 -16y = 12 + -60 Combine like terms: 12 + -60 = -48 -16y = -48 Divide each side by '-16'. y = 3 Simplifying y = 3
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