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Simplifying 2(v + -6) = 3y + 12 + -1y Reorder the terms: 2(-6 + v) = 3y + 12 + -1y (-6 * 2 + v * 2) = 3y + 12 + -1y (-12 + 2v) = 3y + 12 + -1y Reorder the terms: -12 + 2v = 12 + 3y + -1y Combine like terms: 3y + -1y = 2y -12 + 2v = 12 + 2y Solving -12 + 2v = 12 + 2y Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2v = 12 + 12 + 2y Combine like terms: -12 + 12 = 0 0 + 2v = 12 + 12 + 2y 2v = 12 + 12 + 2y Combine like terms: 12 + 12 = 24 2v = 24 + 2y Divide each side by '2'. v = 12 + y Simplifying v = 12 + y
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