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Simplifying 4(2y + 1) = 2(12 + -1y) Reorder the terms: 4(1 + 2y) = 2(12 + -1y) (1 * 4 + 2y * 4) = 2(12 + -1y) (4 + 8y) = 2(12 + -1y) 4 + 8y = (12 * 2 + -1y * 2) 4 + 8y = (24 + -2y) Solving 4 + 8y = 24 + -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 + 8y + 2y = 24 + -2y + 2y Combine like terms: 8y + 2y = 10y 4 + 10y = 24 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + 10y = 24 + 0 4 + 10y = 24 Add '-4' to each side of the equation. 4 + -4 + 10y = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 10y = 24 + -4 10y = 24 + -4 Combine like terms: 24 + -4 = 20 10y = 20 Divide each side by '10'. y = 2 Simplifying y = 2
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