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Simplifying 5(y + -5) = 2y + -31 Reorder the terms: 5(-5 + y) = 2y + -31 (-5 * 5 + y * 5) = 2y + -31 (-25 + 5y) = 2y + -31 Reorder the terms: -25 + 5y = -31 + 2y Solving -25 + 5y = -31 + 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. -25 + 5y + -2y = -31 + 2y + -2y Combine like terms: 5y + -2y = 3y -25 + 3y = -31 + 2y + -2y Combine like terms: 2y + -2y = 0 -25 + 3y = -31 + 0 -25 + 3y = -31 Add '25' to each side of the equation. -25 + 25 + 3y = -31 + 25 Combine like terms: -25 + 25 = 0 0 + 3y = -31 + 25 3y = -31 + 25 Combine like terms: -31 + 25 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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