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Simplifying (4 + -2v + 2y)(-6) = 0 Reorder the terms for easier multiplication: -6(4 + -2v + 2y) = 0 (4 * -6 + -2v * -6 + 2y * -6) = 0 (-24 + 12v + -12y) = 0 Solving -24 + 12v + -12y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 12v + 24 + -12y = 0 + 24 Reorder the terms: -24 + 24 + 12v + -12y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12v + -12y = 0 + 24 12v + -12y = 0 + 24 Combine like terms: 0 + 24 = 24 12v + -12y = 24 Add '12y' to each side of the equation. 12v + -12y + 12y = 24 + 12y Combine like terms: -12y + 12y = 0 12v + 0 = 24 + 12y 12v = 24 + 12y Divide each side by '12'. v = 2 + y Simplifying v = 2 + y
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