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