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Simplifying -4(v + -2) = -4(y + -8) + -8v Reorder the terms: -4(-2 + v) = -4(y + -8) + -8v (-2 * -4 + v * -4) = -4(y + -8) + -8v (8 + -4v) = -4(y + -8) + -8v Reorder the terms: 8 + -4v = -4(-8 + y) + -8v 8 + -4v = (-8 * -4 + y * -4) + -8v 8 + -4v = (32 + -4y) + -8v Reorder the terms: 8 + -4v = 32 + -8v + -4y Solving 8 + -4v = 32 + -8v + -4y 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. 8 + -4v + 8v = 32 + -8v + 8v + -4y Combine like terms: -4v + 8v = 4v 8 + 4v = 32 + -8v + 8v + -4y Combine like terms: -8v + 8v = 0 8 + 4v = 32 + 0 + -4y 8 + 4v = 32 + -4y Add '-8' to each side of the equation. 8 + -8 + 4v = 32 + -8 + -4y Combine like terms: 8 + -8 = 0 0 + 4v = 32 + -8 + -4y 4v = 32 + -8 + -4y Combine like terms: 32 + -8 = 24 4v = 24 + -4y Divide each side by '4'. v = 6 + -1y Simplifying v = 6 + -1y
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