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Simplifying 8(y + 7) = 5y + 32 Reorder the terms: 8(7 + y) = 5y + 32 (7 * 8 + y * 8) = 5y + 32 (56 + 8y) = 5y + 32 Reorder the terms: 56 + 8y = 32 + 5y Solving 56 + 8y = 32 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 56 + 8y + -5y = 32 + 5y + -5y Combine like terms: 8y + -5y = 3y 56 + 3y = 32 + 5y + -5y Combine like terms: 5y + -5y = 0 56 + 3y = 32 + 0 56 + 3y = 32 Add '-56' to each side of the equation. 56 + -56 + 3y = 32 + -56 Combine like terms: 56 + -56 = 0 0 + 3y = 32 + -56 3y = 32 + -56 Combine like terms: 32 + -56 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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