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Simplifying 2y + -24 = -5(y + -5) Reorder the terms: -24 + 2y = -5(y + -5) Reorder the terms: -24 + 2y = -5(-5 + y) -24 + 2y = (-5 * -5 + y * -5) -24 + 2y = (25 + -5y) Solving -24 + 2y = 25 + -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 + 2y + 5y = 25 + -5y + 5y Combine like terms: 2y + 5y = 7y -24 + 7y = 25 + -5y + 5y Combine like terms: -5y + 5y = 0 -24 + 7y = 25 + 0 -24 + 7y = 25 Add '24' to each side of the equation. -24 + 24 + 7y = 25 + 24 Combine like terms: -24 + 24 = 0 0 + 7y = 25 + 24 7y = 25 + 24 Combine like terms: 25 + 24 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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