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