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Simplifying -0.5(12v + -20) + 4 = -12 + -8y Reorder the terms: -0.5(-20 + 12v) + 4 = -12 + -8y (-20 * -0.5 + 12v * -0.5) + 4 = -12 + -8y (10 + -6v) + 4 = -12 + -8y Reorder the terms: 10 + 4 + -6v = -12 + -8y Combine like terms: 10 + 4 = 14 14 + -6v = -12 + -8y Solving 14 + -6v = -12 + -8y Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -6v = -12 + -14 + -8y Combine like terms: 14 + -14 = 0 0 + -6v = -12 + -14 + -8y -6v = -12 + -14 + -8y Combine like terms: -12 + -14 = -26 -6v = -26 + -8y Divide each side by '-6'. v = 4.333333333 + 1.333333333y Simplifying v = 4.333333333 + 1.333333333y
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