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Simplifying 2(y + 1) + -3(y + -2) = 0 Reorder the terms: 2(1 + y) + -3(y + -2) = 0 (1 * 2 + y * 2) + -3(y + -2) = 0 (2 + 2y) + -3(y + -2) = 0 Reorder the terms: 2 + 2y + -3(-2 + y) = 0 2 + 2y + (-2 * -3 + y * -3) = 0 2 + 2y + (6 + -3y) = 0 Reorder the terms: 2 + 6 + 2y + -3y = 0 Combine like terms: 2 + 6 = 8 8 + 2y + -3y = 0 Combine like terms: 2y + -3y = -1y 8 + -1y = 0 Solving 8 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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