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Simplifying -2(-3v + y) + 4(-1y + -5v) = 0 (-3v * -2 + y * -2) + 4(-1y + -5v) = 0 (6v + -2y) + 4(-1y + -5v) = 0 Reorder the terms: 6v + -2y + 4(-5v + -1y) = 0 6v + -2y + (-5v * 4 + -1y * 4) = 0 6v + -2y + (-20v + -4y) = 0 Reorder the terms: 6v + -20v + -2y + -4y = 0 Combine like terms: 6v + -20v = -14v -14v + -2y + -4y = 0 Combine like terms: -2y + -4y = -6y -14v + -6y = 0 Solving -14v + -6y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6y' to each side of the equation. -14v + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 -14v + 0 = 0 + 6y -14v = 0 + 6y Remove the zero: -14v = 6y Divide each side by '-14'. v = -0.4285714286y Simplifying v = -0.4285714286y
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