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Simplifying -5(y + 9) = -7y + -49 Reorder the terms: -5(9 + y) = -7y + -49 (9 * -5 + y * -5) = -7y + -49 (-45 + -5y) = -7y + -49 Reorder the terms: -45 + -5y = -49 + -7y Solving -45 + -5y = -49 + -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. -45 + -5y + 7y = -49 + -7y + 7y Combine like terms: -5y + 7y = 2y -45 + 2y = -49 + -7y + 7y Combine like terms: -7y + 7y = 0 -45 + 2y = -49 + 0 -45 + 2y = -49 Add '45' to each side of the equation. -45 + 45 + 2y = -49 + 45 Combine like terms: -45 + 45 = 0 0 + 2y = -49 + 45 2y = -49 + 45 Combine like terms: -49 + 45 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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