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Simplifying 4(8 + y) = 2(y + 8) (8 * 4 + y * 4) = 2(y + 8) (32 + 4y) = 2(y + 8) Reorder the terms: 32 + 4y = 2(8 + y) 32 + 4y = (8 * 2 + y * 2) 32 + 4y = (16 + 2y) Solving 32 + 4y = 16 + 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. 32 + 4y + -2y = 16 + 2y + -2y Combine like terms: 4y + -2y = 2y 32 + 2y = 16 + 2y + -2y Combine like terms: 2y + -2y = 0 32 + 2y = 16 + 0 32 + 2y = 16 Add '-32' to each side of the equation. 32 + -32 + 2y = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 16 + -32 2y = 16 + -32 Combine like terms: 16 + -32 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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