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Simplifying 24 = 6(y + 6) + -8y Reorder the terms: 24 = 6(6 + y) + -8y 24 = (6 * 6 + y * 6) + -8y 24 = (36 + 6y) + -8y Combine like terms: 6y + -8y = -2y 24 = 36 + -2y Solving 24 = 36 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 24 + 2y = 36 + -2y + 2y Combine like terms: -2y + 2y = 0 24 + 2y = 36 + 0 24 + 2y = 36 Add '-24' to each side of the equation. 24 + -24 + 2y = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 2y = 36 + -24 2y = 36 + -24 Combine like terms: 36 + -24 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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