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Simplifying -24 = 3(y + 7) + -8y Reorder the terms: -24 = 3(7 + y) + -8y -24 = (7 * 3 + y * 3) + -8y -24 = (21 + 3y) + -8y Combine like terms: 3y + -8y = -5y -24 = 21 + -5y Solving -24 = 21 + -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. -24 + 5y = 21 + -5y + 5y Combine like terms: -5y + 5y = 0 -24 + 5y = 21 + 0 -24 + 5y = 21 Add '24' to each side of the equation. -24 + 24 + 5y = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 5y = 21 + 24 5y = 21 + 24 Combine like terms: 21 + 24 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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