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Simplifying 12(5 + 2y) = 4y + -1(6 + -9) * y (5 * 12 + 2y * 12) = 4y + -1(6 + -9) * y (60 + 24y) = 4y + -1(6 + -9) * y Combine like terms: 6 + -9 = -3 60 + 24y = 4y + -1(-3) * y Multiply -1 * -3 60 + 24y = 4y + 3y Combine like terms: 4y + 3y = 7y 60 + 24y = 7y Solving 60 + 24y = 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 60 + 24y + -7y = 7y + -7y Combine like terms: 24y + -7y = 17y 60 + 17y = 7y + -7y Combine like terms: 7y + -7y = 0 60 + 17y = 0 Add '-60' to each side of the equation. 60 + -60 + 17y = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 17y = 0 + -60 17y = 0 + -60 Combine like terms: 0 + -60 = -60 17y = -60 Divide each side by '17'. y = -3.529411765 Simplifying y = -3.529411765
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