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Simplifying -3(2y + -1v) + 5(3v + -5y) = 0 Reorder the terms: -3(-1v + 2y) + 5(3v + -5y) = 0 (-1v * -3 + 2y * -3) + 5(3v + -5y) = 0 (3v + -6y) + 5(3v + -5y) = 0 3v + -6y + (3v * 5 + -5y * 5) = 0 3v + -6y + (15v + -25y) = 0 Reorder the terms: 3v + 15v + -6y + -25y = 0 Combine like terms: 3v + 15v = 18v 18v + -6y + -25y = 0 Combine like terms: -6y + -25y = -31y 18v + -31y = 0 Solving 18v + -31y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '31y' to each side of the equation. 18v + -31y + 31y = 0 + 31y Combine like terms: -31y + 31y = 0 18v + 0 = 0 + 31y 18v = 0 + 31y Remove the zero: 18v = 31y Divide each side by '18'. v = 1.722222222y Simplifying v = 1.722222222y
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