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Simplifying -2(v + -1y) + 5(-6y + -2v) = 0 (v * -2 + -1y * -2) + 5(-6y + -2v) = 0 (-2v + 2y) + 5(-6y + -2v) = 0 Reorder the terms: -2v + 2y + 5(-2v + -6y) = 0 -2v + 2y + (-2v * 5 + -6y * 5) = 0 -2v + 2y + (-10v + -30y) = 0 Reorder the terms: -2v + -10v + 2y + -30y = 0 Combine like terms: -2v + -10v = -12v -12v + 2y + -30y = 0 Combine like terms: 2y + -30y = -28y -12v + -28y = 0 Solving -12v + -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. -12v + -28y + 28y = 0 + 28y Combine like terms: -28y + 28y = 0 -12v + 0 = 0 + 28y -12v = 0 + 28y Remove the zero: -12v = 28y Divide each side by '-12'. v = -2.333333333y Simplifying v = -2.333333333y
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