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Simplifying 32(y + 2) = 4(7y + 8) Reorder the terms: 32(2 + y) = 4(7y + 8) (2 * 32 + y * 32) = 4(7y + 8) (64 + 32y) = 4(7y + 8) Reorder the terms: 64 + 32y = 4(8 + 7y) 64 + 32y = (8 * 4 + 7y * 4) 64 + 32y = (32 + 28y) Solving 64 + 32y = 32 + 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. 64 + 32y + -28y = 32 + 28y + -28y Combine like terms: 32y + -28y = 4y 64 + 4y = 32 + 28y + -28y Combine like terms: 28y + -28y = 0 64 + 4y = 32 + 0 64 + 4y = 32 Add '-64' to each side of the equation. 64 + -64 + 4y = 32 + -64 Combine like terms: 64 + -64 = 0 0 + 4y = 32 + -64 4y = 32 + -64 Combine like terms: 32 + -64 = -32 4y = -32 Divide each side by '4'. y = -8 Simplifying y = -8
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