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Simplifying 12(5 + 2y) = 4y + -6(6 + -9y) (5 * 12 + 2y * 12) = 4y + -6(6 + -9y) (60 + 24y) = 4y + -6(6 + -9y) 60 + 24y = 4y + (6 * -6 + -9y * -6) 60 + 24y = 4y + (-36 + 54y) Reorder the terms: 60 + 24y = -36 + 4y + 54y Combine like terms: 4y + 54y = 58y 60 + 24y = -36 + 58y Solving 60 + 24y = -36 + 58y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-58y' to each side of the equation. 60 + 24y + -58y = -36 + 58y + -58y Combine like terms: 24y + -58y = -34y 60 + -34y = -36 + 58y + -58y Combine like terms: 58y + -58y = 0 60 + -34y = -36 + 0 60 + -34y = -36 Add '-60' to each side of the equation. 60 + -60 + -34y = -36 + -60 Combine like terms: 60 + -60 = 0 0 + -34y = -36 + -60 -34y = -36 + -60 Combine like terms: -36 + -60 = -96 -34y = -96 Divide each side by '-34'. y = 2.823529412 Simplifying y = 2.823529412
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