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