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Simplifying -4(-2v + -1y) + -3(3y + 6v) = 0 (-2v * -4 + -1y * -4) + -3(3y + 6v) = 0 (8v + 4y) + -3(3y + 6v) = 0 Reorder the terms: 8v + 4y + -3(6v + 3y) = 0 8v + 4y + (6v * -3 + 3y * -3) = 0 8v + 4y + (-18v + -9y) = 0 Reorder the terms: 8v + -18v + 4y + -9y = 0 Combine like terms: 8v + -18v = -10v -10v + 4y + -9y = 0 Combine like terms: 4y + -9y = -5y -10v + -5y = 0 Solving -10v + -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. -10v + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 -10v + 0 = 0 + 5y -10v = 0 + 5y Remove the zero: -10v = 5y Divide each side by '-10'. v = -0.5y Simplifying v = -0.5y
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