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Simplifying -2(-4y + v) + 6(2v + -2y) = 0 Reorder the terms: -2(v + -4y) + 6(2v + -2y) = 0 (v * -2 + -4y * -2) + 6(2v + -2y) = 0 (-2v + 8y) + 6(2v + -2y) = 0 -2v + 8y + (2v * 6 + -2y * 6) = 0 -2v + 8y + (12v + -12y) = 0 Reorder the terms: -2v + 12v + 8y + -12y = 0 Combine like terms: -2v + 12v = 10v 10v + 8y + -12y = 0 Combine like terms: 8y + -12y = -4y 10v + -4y = 0 Solving 10v + -4y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4y' to each side of the equation. 10v + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 10v + 0 = 0 + 4y 10v = 0 + 4y Remove the zero: 10v = 4y Divide each side by '10'. v = 0.4y Simplifying v = 0.4y
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