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Simplifying 3(1 + -1y) + -2(y + -1) = 9(y + -1) + 3 (1 * 3 + -1y * 3) + -2(y + -1) = 9(y + -1) + 3 (3 + -3y) + -2(y + -1) = 9(y + -1) + 3 Reorder the terms: 3 + -3y + -2(-1 + y) = 9(y + -1) + 3 3 + -3y + (-1 * -2 + y * -2) = 9(y + -1) + 3 3 + -3y + (2 + -2y) = 9(y + -1) + 3 Reorder the terms: 3 + 2 + -3y + -2y = 9(y + -1) + 3 Combine like terms: 3 + 2 = 5 5 + -3y + -2y = 9(y + -1) + 3 Combine like terms: -3y + -2y = -5y 5 + -5y = 9(y + -1) + 3 Reorder the terms: 5 + -5y = 9(-1 + y) + 3 5 + -5y = (-1 * 9 + y * 9) + 3 5 + -5y = (-9 + 9y) + 3 Reorder the terms: 5 + -5y = -9 + 3 + 9y Combine like terms: -9 + 3 = -6 5 + -5y = -6 + 9y Solving 5 + -5y = -6 + 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. 5 + -5y + -9y = -6 + 9y + -9y Combine like terms: -5y + -9y = -14y 5 + -14y = -6 + 9y + -9y Combine like terms: 9y + -9y = 0 5 + -14y = -6 + 0 5 + -14y = -6 Add '-5' to each side of the equation. 5 + -5 + -14y = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -14y = -6 + -5 -14y = -6 + -5 Combine like terms: -6 + -5 = -11 -14y = -11 Divide each side by '-14'. y = 0.7857142857 Simplifying y = 0.7857142857
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