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Simplifying -1(-3y + v) + 3(5v + -6y) = 0 Reorder the terms: -1(v + -3y) + 3(5v + -6y) = 0 (v * -1 + -3y * -1) + 3(5v + -6y) = 0 (-1v + 3y) + 3(5v + -6y) = 0 -1v + 3y + (5v * 3 + -6y * 3) = 0 -1v + 3y + (15v + -18y) = 0 Reorder the terms: -1v + 15v + 3y + -18y = 0 Combine like terms: -1v + 15v = 14v 14v + 3y + -18y = 0 Combine like terms: 3y + -18y = -15y 14v + -15y = 0 Solving 14v + -15y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15y' to each side of the equation. 14v + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 14v + 0 = 0 + 15y 14v = 0 + 15y Remove the zero: 14v = 15y Divide each side by '14'. v = 1.071428571y Simplifying v = 1.071428571y
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