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