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Simplifying -2(6y + v) + -6(6v + 5y) = 0 Reorder the terms: -2(v + 6y) + -6(6v + 5y) = 0 (v * -2 + 6y * -2) + -6(6v + 5y) = 0 (-2v + -12y) + -6(6v + 5y) = 0 -2v + -12y + (6v * -6 + 5y * -6) = 0 -2v + -12y + (-36v + -30y) = 0 Reorder the terms: -2v + -36v + -12y + -30y = 0 Combine like terms: -2v + -36v = -38v -38v + -12y + -30y = 0 Combine like terms: -12y + -30y = -42y -38v + -42y = 0 Solving -38v + -42y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42y' to each side of the equation. -38v + -42y + 42y = 0 + 42y Combine like terms: -42y + 42y = 0 -38v + 0 = 0 + 42y -38v = 0 + 42y Remove the zero: -38v = 42y Divide each side by '-38'. v = -1.105263158y Simplifying v = -1.105263158y
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