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