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Simplifying -2(-2y + -1v) + 4(2v + 6y) = 0 Reorder the terms: -2(-1v + -2y) + 4(2v + 6y) = 0 (-1v * -2 + -2y * -2) + 4(2v + 6y) = 0 (2v + 4y) + 4(2v + 6y) = 0 2v + 4y + (2v * 4 + 6y * 4) = 0 2v + 4y + (8v + 24y) = 0 Reorder the terms: 2v + 8v + 4y + 24y = 0 Combine like terms: 2v + 8v = 10v 10v + 4y + 24y = 0 Combine like terms: 4y + 24y = 28y 10v + 28y = 0 Solving 10v + 28y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28y' to each side of the equation. 10v + 28y + -28y = 0 + -28y Combine like terms: 28y + -28y = 0 10v + 0 = 0 + -28y 10v = 0 + -28y Remove the zero: 10v = -28y Divide each side by '10'. v = -2.8y Simplifying v = -2.8y
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