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Simplifying 3(4(Y) + 9) = 7(2 + -5(y)) + -2(y) Reorder the terms: 3(9 + 4Y) = 7(2 + -5(y)) + -2(y) (9 * 3 + 4Y * 3) = 7(2 + -5(y)) + -2(y) (27 + 12Y) = 7(2 + -5(y)) + -2(y) 27 + 12Y = (2 * 7 + -5y * 7) + -2(y) 27 + 12Y = (14 + -35y) + -2(y) Combine like terms: -35y + -2y = -37y 27 + 12Y = 14 + -37y Solving 27 + 12Y = 14 + -37y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 12Y = 14 + -27 + -37y Combine like terms: 27 + -27 = 0 0 + 12Y = 14 + -27 + -37y 12Y = 14 + -27 + -37y Combine like terms: 14 + -27 = -13 12Y = -13 + -37y Divide each side by '12'. Y = -1.083333333 + -3.083333333y Simplifying Y = -1.083333333 + -3.083333333y
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