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Simplifying 4(2y + 1) = 2(12 + 6) Reorder the terms: 4(1 + 2y) = 2(12 + 6) (1 * 4 + 2y * 4) = 2(12 + 6) (4 + 8y) = 2(12 + 6) Combine like terms: 12 + 6 = 18 4 + 8y = 2(18) Multiply 2 * 18 4 + 8y = 36 Solving 4 + 8y = 36 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 = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 8y = 36 + -4 8y = 36 + -4 Combine like terms: 36 + -4 = 32 8y = 32 Divide each side by '8'. y = 4 Simplifying y = 4
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