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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 = 1 1 + -3y + -2y = 9(y + 1) + 3 Combine like terms: -3y + -2y = -5y 1 + -5y = 9(y + 1) + 3 Reorder the terms: 1 + -5y = 9(1 + y) + 3 1 + -5y = (1 * 9 + y * 9) + 3 1 + -5y = (9 + 9y) + 3 Reorder the terms: 1 + -5y = 9 + 3 + 9y Combine like terms: 9 + 3 = 12 1 + -5y = 12 + 9y Solving 1 + -5y = 12 + 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. 1 + -5y + -9y = 12 + 9y + -9y Combine like terms: -5y + -9y = -14y 1 + -14y = 12 + 9y + -9y Combine like terms: 9y + -9y = 0 1 + -14y = 12 + 0 1 + -14y = 12 Add '-1' to each side of the equation. 1 + -1 + -14y = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -14y = 12 + -1 -14y = 12 + -1 Combine like terms: 12 + -1 = 11 -14y = 11 Divide each side by '-14'. y = -0.7857142857 Simplifying y = -0.7857142857
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