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Simplifying 3(y + 4) + -2y = 2(y + 1) Reorder the terms: 3(4 + y) + -2y = 2(y + 1) (4 * 3 + y * 3) + -2y = 2(y + 1) (12 + 3y) + -2y = 2(y + 1) Combine like terms: 3y + -2y = 1y 12 + 1y = 2(y + 1) Reorder the terms: 12 + 1y = 2(1 + y) 12 + 1y = (1 * 2 + y * 2) 12 + 1y = (2 + 2y) Solving 12 + 1y = 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 + 1y + -2y = 2 + 2y + -2y Combine like terms: 1y + -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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