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Simplifying (2y + 1) = 2(12 + -1y) Reorder the terms: (1 + 2y) = 2(12 + -1y) Remove parenthesis around (1 + 2y) 1 + 2y = 2(12 + -1y) 1 + 2y = (12 * 2 + -1y * 2) 1 + 2y = (24 + -2y) Solving 1 + 2y = 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. 1 + 2y + 2y = 24 + -2y + 2y Combine like terms: 2y + 2y = 4y 1 + 4y = 24 + -2y + 2y Combine like terms: -2y + 2y = 0 1 + 4y = 24 + 0 1 + 4y = 24 Add '-1' to each side of the equation. 1 + -1 + 4y = 24 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = 24 + -1 4y = 24 + -1 Combine like terms: 24 + -1 = 23 4y = 23 Divide each side by '4'. y = 5.75 Simplifying y = 5.75
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