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Simplifying -1(-3y + v) + -5(-5v + 3y) = 0 Reorder the terms: -1(v + -3y) + -5(-5v + 3y) = 0 (v * -1 + -3y * -1) + -5(-5v + 3y) = 0 (-1v + 3y) + -5(-5v + 3y) = 0 -1v + 3y + (-5v * -5 + 3y * -5) = 0 -1v + 3y + (25v + -15y) = 0 Reorder the terms: -1v + 25v + 3y + -15y = 0 Combine like terms: -1v + 25v = 24v 24v + 3y + -15y = 0 Combine like terms: 3y + -15y = -12y 24v + -12y = 0 Solving 24v + -12y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12y' to each side of the equation. 24v + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 24v + 0 = 0 + 12y 24v = 0 + 12y Remove the zero: 24v = 12y Divide each side by '24'. v = 0.5y Simplifying v = 0.5y
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