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Simplifying 12(5 + 2y) = 4y + -6(-9y) (5 * 12 + 2y * 12) = 4y + -6(-9y) (60 + 24y) = 4y + -6(-9y) Remove parenthesis around (-9y) 60 + 24y = 4y + -6 * -9y Multiply -6 * -9 60 + 24y = 4y + 54y Combine like terms: 4y + 54y = 58y 60 + 24y = 58y Solving 60 + 24y = 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 = 58y + -58y Combine like terms: 24y + -58y = -34y 60 + -34y = 58y + -58y Combine like terms: 58y + -58y = 0 60 + -34y = 0 Add '-60' to each side of the equation. 60 + -60 + -34y = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -34y = 0 + -60 -34y = 0 + -60 Combine like terms: 0 + -60 = -60 -34y = -60 Divide each side by '-34'. y = 1.764705882 Simplifying y = 1.764705882
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