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Simplifying 6(y + 4) = -7y + -41 Reorder the terms: 6(4 + y) = -7y + -41 (4 * 6 + y * 6) = -7y + -41 (24 + 6y) = -7y + -41 Reorder the terms: 24 + 6y = -41 + -7y Solving 24 + 6y = -41 + -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. 24 + 6y + 7y = -41 + -7y + 7y Combine like terms: 6y + 7y = 13y 24 + 13y = -41 + -7y + 7y Combine like terms: -7y + 7y = 0 24 + 13y = -41 + 0 24 + 13y = -41 Add '-24' to each side of the equation. 24 + -24 + 13y = -41 + -24 Combine like terms: 24 + -24 = 0 0 + 13y = -41 + -24 13y = -41 + -24 Combine like terms: -41 + -24 = -65 13y = -65 Divide each side by '13'. y = -5 Simplifying y = -5
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