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Simplifying 8(y + 5) = 4y + 32 Reorder the terms: 8(5 + y) = 4y + 32 (5 * 8 + y * 8) = 4y + 32 (40 + 8y) = 4y + 32 Reorder the terms: 40 + 8y = 32 + 4y Solving 40 + 8y = 32 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 40 + 8y + -4y = 32 + 4y + -4y Combine like terms: 8y + -4y = 4y 40 + 4y = 32 + 4y + -4y Combine like terms: 4y + -4y = 0 40 + 4y = 32 + 0 40 + 4y = 32 Add '-40' to each side of the equation. 40 + -40 + 4y = 32 + -40 Combine like terms: 40 + -40 = 0 0 + 4y = 32 + -40 4y = 32 + -40 Combine like terms: 32 + -40 = -8 4y = -8 Divide each side by '4'. y = -2 Simplifying y = -2
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