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