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