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Simplifying 6(y + 9) = -7y + -24 Reorder the terms: 6(9 + y) = -7y + -24 (9 * 6 + y * 6) = -7y + -24 (54 + 6y) = -7y + -24 Reorder the terms: 54 + 6y = -24 + -7y Solving 54 + 6y = -24 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 54 + 6y + 7y = -24 + -7y + 7y Combine like terms: 6y + 7y = 13y 54 + 13y = -24 + -7y + 7y Combine like terms: -7y + 7y = 0 54 + 13y = -24 + 0 54 + 13y = -24 Add '-54' to each side of the equation. 54 + -54 + 13y = -24 + -54 Combine like terms: 54 + -54 = 0 0 + 13y = -24 + -54 13y = -24 + -54 Combine like terms: -24 + -54 = -78 13y = -78 Divide each side by '13'. y = -6 Simplifying y = -6
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