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Simplifying 3(y + 3) = 2(y + -1) + 3 Reorder the terms: 3(3 + y) = 2(y + -1) + 3 (3 * 3 + y * 3) = 2(y + -1) + 3 (9 + 3y) = 2(y + -1) + 3 Reorder the terms: 9 + 3y = 2(-1 + y) + 3 9 + 3y = (-1 * 2 + y * 2) + 3 9 + 3y = (-2 + 2y) + 3 Reorder the terms: 9 + 3y = -2 + 3 + 2y Combine like terms: -2 + 3 = 1 9 + 3y = 1 + 2y Solving 9 + 3y = 1 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 9 + 3y + -2y = 1 + 2y + -2y Combine like terms: 3y + -2y = 1y 9 + 1y = 1 + 2y + -2y Combine like terms: 2y + -2y = 0 9 + 1y = 1 + 0 9 + 1y = 1 Add '-9' to each side of the equation. 9 + -9 + 1y = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 1 + -9 1y = 1 + -9 Combine like terms: 1 + -9 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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