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Simplifying -7y + 5(y + -7) = -31 Reorder the terms: -7y + 5(-7 + y) = -31 -7y + (-7 * 5 + y * 5) = -31 -7y + (-35 + 5y) = -31 Reorder the terms: -35 + -7y + 5y = -31 Combine like terms: -7y + 5y = -2y -35 + -2y = -31 Solving -35 + -2y = -31 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -2y = -31 + 35 Combine like terms: -35 + 35 = 0 0 + -2y = -31 + 35 -2y = -31 + 35 Combine like terms: -31 + 35 = 4 -2y = 4 Divide each side by '-2'. y = -2 Simplifying y = -2
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