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Simplifying 5(y + 9) = 8y + 24 Reorder the terms: 5(9 + y) = 8y + 24 (9 * 5 + y * 5) = 8y + 24 (45 + 5y) = 8y + 24 Reorder the terms: 45 + 5y = 24 + 8y Solving 45 + 5y = 24 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 45 + 5y + -8y = 24 + 8y + -8y Combine like terms: 5y + -8y = -3y 45 + -3y = 24 + 8y + -8y Combine like terms: 8y + -8y = 0 45 + -3y = 24 + 0 45 + -3y = 24 Add '-45' to each side of the equation. 45 + -45 + -3y = 24 + -45 Combine like terms: 45 + -45 = 0 0 + -3y = 24 + -45 -3y = 24 + -45 Combine like terms: 24 + -45 = -21 -3y = -21 Divide each side by '-3'. y = 7 Simplifying y = 7
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