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Simplifying -5(y + 5) = 3y + 31 Reorder the terms: -5(5 + y) = 3y + 31 (5 * -5 + y * -5) = 3y + 31 (-25 + -5y) = 3y + 31 Reorder the terms: -25 + -5y = 31 + 3y Solving -25 + -5y = 31 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -25 + -5y + -3y = 31 + 3y + -3y Combine like terms: -5y + -3y = -8y -25 + -8y = 31 + 3y + -3y Combine like terms: 3y + -3y = 0 -25 + -8y = 31 + 0 -25 + -8y = 31 Add '25' to each side of the equation. -25 + 25 + -8y = 31 + 25 Combine like terms: -25 + 25 = 0 0 + -8y = 31 + 25 -8y = 31 + 25 Combine like terms: 31 + 25 = 56 -8y = 56 Divide each side by '-8'. y = -7 Simplifying y = -7
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