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Simplifying 12(5 + 2y) = -4y + -1(6 + -9y) (5 * 12 + 2y * 12) = -4y + -1(6 + -9y) (60 + 24y) = -4y + -1(6 + -9y) 60 + 24y = -4y + (6 * -1 + -9y * -1) 60 + 24y = -4y + (-6 + 9y) Reorder the terms: 60 + 24y = -6 + -4y + 9y Combine like terms: -4y + 9y = 5y 60 + 24y = -6 + 5y Solving 60 + 24y = -6 + 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. 60 + 24y + -5y = -6 + 5y + -5y Combine like terms: 24y + -5y = 19y 60 + 19y = -6 + 5y + -5y Combine like terms: 5y + -5y = 0 60 + 19y = -6 + 0 60 + 19y = -6 Add '-60' to each side of the equation. 60 + -60 + 19y = -6 + -60 Combine like terms: 60 + -60 = 0 0 + 19y = -6 + -60 19y = -6 + -60 Combine like terms: -6 + -60 = -66 19y = -66 Divide each side by '19'. y = -3.473684211 Simplifying y = -3.473684211
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