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Simplifying -1(-5v + y) + -1(-6y + v) = 0 (-5v * -1 + y * -1) + -1(-6y + v) = 0 (5v + -1y) + -1(-6y + v) = 0 Reorder the terms: 5v + -1y + -1(v + -6y) = 0 5v + -1y + (v * -1 + -6y * -1) = 0 5v + -1y + (-1v + 6y) = 0 Reorder the terms: 5v + -1v + -1y + 6y = 0 Combine like terms: 5v + -1v = 4v 4v + -1y + 6y = 0 Combine like terms: -1y + 6y = 5y 4v + 5y = 0 Solving 4v + 5y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5y' to each side of the equation. 4v + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 4v + 0 = 0 + -5y 4v = 0 + -5y Remove the zero: 4v = -5y Divide each side by '4'. v = -1.25y Simplifying v = -1.25y
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