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Simplifying 12(5 + 2y) = 40 + -1(6 + -9y) (5 * 12 + 2y * 12) = 40 + -1(6 + -9y) (60 + 24y) = 40 + -1(6 + -9y) 60 + 24y = 40 + (6 * -1 + -9y * -1) 60 + 24y = 40 + (-6 + 9y) Combine like terms: 40 + -6 = 34 60 + 24y = 34 + 9y Solving 60 + 24y = 34 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 60 + 24y + -9y = 34 + 9y + -9y Combine like terms: 24y + -9y = 15y 60 + 15y = 34 + 9y + -9y Combine like terms: 9y + -9y = 0 60 + 15y = 34 + 0 60 + 15y = 34 Add '-60' to each side of the equation. 60 + -60 + 15y = 34 + -60 Combine like terms: 60 + -60 = 0 0 + 15y = 34 + -60 15y = 34 + -60 Combine like terms: 34 + -60 = -26 15y = -26 Divide each side by '15'. y = -1.733333333 Simplifying y = -1.733333333
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