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