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Simplifying -1(3v + -1y) + -6(-6y + 3v) = 0 (3v * -1 + -1y * -1) + -6(-6y + 3v) = 0 (-3v + 1y) + -6(-6y + 3v) = 0 Reorder the terms: -3v + 1y + -6(3v + -6y) = 0 -3v + 1y + (3v * -6 + -6y * -6) = 0 -3v + 1y + (-18v + 36y) = 0 Reorder the terms: -3v + -18v + 1y + 36y = 0 Combine like terms: -3v + -18v = -21v -21v + 1y + 36y = 0 Combine like terms: 1y + 36y = 37y -21v + 37y = 0 Solving -21v + 37y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-37y' to each side of the equation. -21v + 37y + -37y = 0 + -37y Combine like terms: 37y + -37y = 0 -21v + 0 = 0 + -37y -21v = 0 + -37y Remove the zero: -21v = -37y Divide each side by '-21'. v = 1.761904762y Simplifying v = 1.761904762y
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