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Simplifying -2(4v + -1y) + -1(-3y + 4v) = 0 (4v * -2 + -1y * -2) + -1(-3y + 4v) = 0 (-8v + 2y) + -1(-3y + 4v) = 0 Reorder the terms: -8v + 2y + -1(4v + -3y) = 0 -8v + 2y + (4v * -1 + -3y * -1) = 0 -8v + 2y + (-4v + 3y) = 0 Reorder the terms: -8v + -4v + 2y + 3y = 0 Combine like terms: -8v + -4v = -12v -12v + 2y + 3y = 0 Combine like terms: 2y + 3y = 5y -12v + 5y = 0 Solving -12v + 5y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5y' to each side of the equation. -12v + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -12v + 0 = 0 + -5y -12v = 0 + -5y Remove the zero: -12v = -5y Divide each side by '-12'. v = 0.4166666667y Simplifying v = 0.4166666667y
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