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Simplifying -4(-5y + v) + (v + 3y) = 0 Reorder the terms: -4(v + -5y) + (v + 3y) = 0 (v * -4 + -5y * -4) + (v + 3y) = 0 (-4v + 20y) + (v + 3y) = 0 Remove parenthesis around (v + 3y) -4v + 20y + v + 3y = 0 Reorder the terms: -4v + v + 20y + 3y = 0 Combine like terms: -4v + v = -3v -3v + 20y + 3y = 0 Combine like terms: 20y + 3y = 23y -3v + 23y = 0 Solving -3v + 23y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-23y' to each side of the equation. -3v + 23y + -23y = 0 + -23y Combine like terms: 23y + -23y = 0 -3v + 0 = 0 + -23y -3v = 0 + -23y Remove the zero: -3v = -23y Divide each side by '-3'. v = 7.666666667y Simplifying v = 7.666666667y
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