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Simplifying -1(-4v + -1y) + -5(-3y + -3v) = 0 (-4v * -1 + -1y * -1) + -5(-3y + -3v) = 0 (4v + 1y) + -5(-3y + -3v) = 0 Reorder the terms: 4v + 1y + -5(-3v + -3y) = 0 4v + 1y + (-3v * -5 + -3y * -5) = 0 4v + 1y + (15v + 15y) = 0 Reorder the terms: 4v + 15v + 1y + 15y = 0 Combine like terms: 4v + 15v = 19v 19v + 1y + 15y = 0 Combine like terms: 1y + 15y = 16y 19v + 16y = 0 Solving 19v + 16y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16y' to each side of the equation. 19v + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 19v + 0 = 0 + -16y 19v = 0 + -16y Remove the zero: 19v = -16y Divide each side by '19'. v = -0.8421052632y Simplifying v = -0.8421052632y
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