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Simplifying -1(-2y + v) + 6(6v + -5y) = 0 Reorder the terms: -1(v + -2y) + 6(6v + -5y) = 0 (v * -1 + -2y * -1) + 6(6v + -5y) = 0 (-1v + 2y) + 6(6v + -5y) = 0 -1v + 2y + (6v * 6 + -5y * 6) = 0 -1v + 2y + (36v + -30y) = 0 Reorder the terms: -1v + 36v + 2y + -30y = 0 Combine like terms: -1v + 36v = 35v 35v + 2y + -30y = 0 Combine like terms: 2y + -30y = -28y 35v + -28y = 0 Solving 35v + -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. 35v + -28y + 28y = 0 + 28y Combine like terms: -28y + 28y = 0 35v + 0 = 0 + 28y 35v = 0 + 28y Remove the zero: 35v = 28y Divide each side by '35'. v = 0.8y Simplifying v = 0.8y
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