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Simplifying 4(y + 7) = -9y + -24 Reorder the terms: 4(7 + y) = -9y + -24 (7 * 4 + y * 4) = -9y + -24 (28 + 4y) = -9y + -24 Reorder the terms: 28 + 4y = -24 + -9y Solving 28 + 4y = -24 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 28 + 4y + 9y = -24 + -9y + 9y Combine like terms: 4y + 9y = 13y 28 + 13y = -24 + -9y + 9y Combine like terms: -9y + 9y = 0 28 + 13y = -24 + 0 28 + 13y = -24 Add '-28' to each side of the equation. 28 + -28 + 13y = -24 + -28 Combine like terms: 28 + -28 = 0 0 + 13y = -24 + -28 13y = -24 + -28 Combine like terms: -24 + -28 = -52 13y = -52 Divide each side by '13'. y = -4 Simplifying y = -4
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