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Simplifying 3(y + 4) = 2(y + 1) Reorder the terms: 3(4 + y) = 2(y + 1) (4 * 3 + y * 3) = 2(y + 1) (12 + 3y) = 2(y + 1) Reorder the terms: 12 + 3y = 2(1 + y) 12 + 3y = (1 * 2 + y * 2) 12 + 3y = (2 + 2y) Solving 12 + 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. 12 + 3y + -2y = 2 + 2y + -2y Combine like terms: 3y + -2y = 1y 12 + 1y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 1y = 2 + 0 12 + 1y = 2 Add '-12' to each side of the equation. 12 + -12 + 1y = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 2 + -12 1y = 2 + -12 Combine like terms: 2 + -12 = -10 1y = -10 Divide each side by '1'. y = -10 Simplifying y = -10
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