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Simplifying -1(2v + y) + 6(2y + v) = 0 (2v * -1 + y * -1) + 6(2y + v) = 0 (-2v + -1y) + 6(2y + v) = 0 Reorder the terms: -2v + -1y + 6(v + 2y) = 0 -2v + -1y + (v * 6 + 2y * 6) = 0 -2v + -1y + (6v + 12y) = 0 Reorder the terms: -2v + 6v + -1y + 12y = 0 Combine like terms: -2v + 6v = 4v 4v + -1y + 12y = 0 Combine like terms: -1y + 12y = 11y 4v + 11y = 0 Solving 4v + 11y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11y' to each side of the equation. 4v + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 4v + 0 = 0 + -11y 4v = 0 + -11y Remove the zero: 4v = -11y Divide each side by '4'. v = -2.75y Simplifying v = -2.75y
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