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Simplifying -3(6y + v) + -4(3v + -1y) = 0 Reorder the terms: -3(v + 6y) + -4(3v + -1y) = 0 (v * -3 + 6y * -3) + -4(3v + -1y) = 0 (-3v + -18y) + -4(3v + -1y) = 0 -3v + -18y + (3v * -4 + -1y * -4) = 0 -3v + -18y + (-12v + 4y) = 0 Reorder the terms: -3v + -12v + -18y + 4y = 0 Combine like terms: -3v + -12v = -15v -15v + -18y + 4y = 0 Combine like terms: -18y + 4y = -14y -15v + -14y = 0 Solving -15v + -14y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14y' to each side of the equation. -15v + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 -15v + 0 = 0 + 14y -15v = 0 + 14y Remove the zero: -15v = 14y Divide each side by '-15'. v = -0.9333333333y Simplifying v = -0.9333333333y
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