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Simplifying -7(y + 7) = -5y + -31 Reorder the terms: -7(7 + y) = -5y + -31 (7 * -7 + y * -7) = -5y + -31 (-49 + -7y) = -5y + -31 Reorder the terms: -49 + -7y = -31 + -5y Solving -49 + -7y = -31 + -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. -49 + -7y + 5y = -31 + -5y + 5y Combine like terms: -7y + 5y = -2y -49 + -2y = -31 + -5y + 5y Combine like terms: -5y + 5y = 0 -49 + -2y = -31 + 0 -49 + -2y = -31 Add '49' to each side of the equation. -49 + 49 + -2y = -31 + 49 Combine like terms: -49 + 49 = 0 0 + -2y = -31 + 49 -2y = -31 + 49 Combine like terms: -31 + 49 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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