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Simplifying 4(2y + 1) = 2(12 + 1) Reorder the terms: 4(1 + 2y) = 2(12 + 1) (1 * 4 + 2y * 4) = 2(12 + 1) (4 + 8y) = 2(12 + 1) Combine like terms: 12 + 1 = 13 4 + 8y = 2(13) Multiply 2 * 13 4 + 8y = 26 Solving 4 + 8y = 26 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8y = 26 + -4 Combine like terms: 4 + -4 = 0 0 + 8y = 26 + -4 8y = 26 + -4 Combine like terms: 26 + -4 = 22 8y = 22 Divide each side by '8'. y = 2.75 Simplifying y = 2.75
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