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Simplifying -1(-2v + -1y) + (-4y + 4v) = 0 (-2v * -1 + -1y * -1) + (-4y + 4v) = 0 (2v + 1y) + (-4y + 4v) = 0 Reorder the terms: 2v + 1y + (4v + -4y) = 0 Remove parenthesis around (4v + -4y) 2v + 1y + 4v + -4y = 0 Reorder the terms: 2v + 4v + 1y + -4y = 0 Combine like terms: 2v + 4v = 6v 6v + 1y + -4y = 0 Combine like terms: 1y + -4y = -3y 6v + -3y = 0 Solving 6v + -3y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3y' to each side of the equation. 6v + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 6v + 0 = 0 + 3y 6v = 0 + 3y Remove the zero: 6v = 3y Divide each side by '6'. v = 0.5y Simplifying v = 0.5y
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