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Simplifying 3(y + 2) + -2 = 2(4 + -1y) Reorder the terms: 3(2 + y) + -2 = 2(4 + -1y) (2 * 3 + y * 3) + -2 = 2(4 + -1y) (6 + 3y) + -2 = 2(4 + -1y) Reorder the terms: 6 + -2 + 3y = 2(4 + -1y) Combine like terms: 6 + -2 = 4 4 + 3y = 2(4 + -1y) 4 + 3y = (4 * 2 + -1y * 2) 4 + 3y = (8 + -2y) Solving 4 + 3y = 8 + -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. 4 + 3y + 2y = 8 + -2y + 2y Combine like terms: 3y + 2y = 5y 4 + 5y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + 5y = 8 + 0 4 + 5y = 8 Add '-4' to each side of the equation. 4 + -4 + 5y = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 5y = 8 + -4 5y = 8 + -4 Combine like terms: 8 + -4 = 4 5y = 4 Divide each side by '5'. y = 0.8 Simplifying y = 0.8
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