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Simplifying 2(2y + 1) = 2(12 + -1y) Reorder the terms: 2(1 + 2y) = 2(12 + -1y) (1 * 2 + 2y * 2) = 2(12 + -1y) (2 + 4y) = 2(12 + -1y) 2 + 4y = (12 * 2 + -1y * 2) 2 + 4y = (24 + -2y) Solving 2 + 4y = 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. 2 + 4y + 2y = 24 + -2y + 2y Combine like terms: 4y + 2y = 6y 2 + 6y = 24 + -2y + 2y Combine like terms: -2y + 2y = 0 2 + 6y = 24 + 0 2 + 6y = 24 Add '-2' to each side of the equation. 2 + -2 + 6y = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 6y = 24 + -2 6y = 24 + -2 Combine like terms: 24 + -2 = 22 6y = 22 Divide each side by '6'. y = 3.666666667 Simplifying y = 3.666666667
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