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Simplifying -31 = 3y + 9 + -8v Reorder the terms: -31 = 9 + -8v + 3y Solving -31 = 9 + -8v + 3y Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -31 + 8v = 9 + -8v + 8v + 3y Combine like terms: -8v + 8v = 0 -31 + 8v = 9 + 0 + 3y -31 + 8v = 9 + 3y Add '31' to each side of the equation. -31 + 31 + 8v = 9 + 31 + 3y Combine like terms: -31 + 31 = 0 0 + 8v = 9 + 31 + 3y 8v = 9 + 31 + 3y Combine like terms: 9 + 31 = 40 8v = 40 + 3y Divide each side by '8'. v = 5 + 0.375y Simplifying v = 5 + 0.375y
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