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Simplifying -5(y + 5) = -7y + -9 Reorder the terms: -5(5 + y) = -7y + -9 (5 * -5 + y * -5) = -7y + -9 (-25 + -5y) = -7y + -9 Reorder the terms: -25 + -5y = -9 + -7y Solving -25 + -5y = -9 + -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. -25 + -5y + 7y = -9 + -7y + 7y Combine like terms: -5y + 7y = 2y -25 + 2y = -9 + -7y + 7y Combine like terms: -7y + 7y = 0 -25 + 2y = -9 + 0 -25 + 2y = -9 Add '25' to each side of the equation. -25 + 25 + 2y = -9 + 25 Combine like terms: -25 + 25 = 0 0 + 2y = -9 + 25 2y = -9 + 25 Combine like terms: -9 + 25 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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