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Simplifying -31 = -8y + 5(y + -2) Reorder the terms: -31 = -8y + 5(-2 + y) -31 = -8y + (-2 * 5 + y * 5) -31 = -8y + (-10 + 5y) Reorder the terms: -31 = -10 + -8y + 5y Combine like terms: -8y + 5y = -3y -31 = -10 + -3y Solving -31 = -10 + -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. -31 + 3y = -10 + -3y + 3y Combine like terms: -3y + 3y = 0 -31 + 3y = -10 + 0 -31 + 3y = -10 Add '31' to each side of the equation. -31 + 31 + 3y = -10 + 31 Combine like terms: -31 + 31 = 0 0 + 3y = -10 + 31 3y = -10 + 31 Combine like terms: -10 + 31 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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