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Simplifying -2(-2y + -1v) + -2(4v + -5y) = 0 Reorder the terms: -2(-1v + -2y) + -2(4v + -5y) = 0 (-1v * -2 + -2y * -2) + -2(4v + -5y) = 0 (2v + 4y) + -2(4v + -5y) = 0 2v + 4y + (4v * -2 + -5y * -2) = 0 2v + 4y + (-8v + 10y) = 0 Reorder the terms: 2v + -8v + 4y + 10y = 0 Combine like terms: 2v + -8v = -6v -6v + 4y + 10y = 0 Combine like terms: 4y + 10y = 14y -6v + 14y = 0 Solving -6v + 14y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14y' to each side of the equation. -6v + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 -6v + 0 = 0 + -14y -6v = 0 + -14y Remove the zero: -6v = -14y Divide each side by '-6'. v = 2.333333333y Simplifying v = 2.333333333y
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