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Simplifying -7y + 24 = -5(y + -6) Reorder the terms: 24 + -7y = -5(y + -6) Reorder the terms: 24 + -7y = -5(-6 + y) 24 + -7y = (-6 * -5 + y * -5) 24 + -7y = (30 + -5y) Solving 24 + -7y = 30 + -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 + -7y + 5y = 30 + -5y + 5y Combine like terms: -7y + 5y = -2y 24 + -2y = 30 + -5y + 5y Combine like terms: -5y + 5y = 0 24 + -2y = 30 + 0 24 + -2y = 30 Add '-24' to each side of the equation. 24 + -24 + -2y = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -2y = 30 + -24 -2y = 30 + -24 Combine like terms: 30 + -24 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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