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Simplifying 3(2y + 1) = 9(y + -1) Reorder the terms: 3(1 + 2y) = 9(y + -1) (1 * 3 + 2y * 3) = 9(y + -1) (3 + 6y) = 9(y + -1) Reorder the terms: 3 + 6y = 9(-1 + y) 3 + 6y = (-1 * 9 + y * 9) 3 + 6y = (-9 + 9y) Solving 3 + 6y = -9 + 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. 3 + 6y + -9y = -9 + 9y + -9y Combine like terms: 6y + -9y = -3y 3 + -3y = -9 + 9y + -9y Combine like terms: 9y + -9y = 0 3 + -3y = -9 + 0 3 + -3y = -9 Add '-3' to each side of the equation. 3 + -3 + -3y = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -3y = -9 + -3 -3y = -9 + -3 Combine like terms: -9 + -3 = -12 -3y = -12 Divide each side by '-3'. y = 4 Simplifying y = 4
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