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Simplifying 3(y + 1) = 2 + 2y Reorder the terms: 3(1 + y) = 2 + 2y (1 * 3 + y * 3) = 2 + 2y (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 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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