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Simplifying -1(-5v + y) + 6(2y + -5v) = 0 (-5v * -1 + y * -1) + 6(2y + -5v) = 0 (5v + -1y) + 6(2y + -5v) = 0 Reorder the terms: 5v + -1y + 6(-5v + 2y) = 0 5v + -1y + (-5v * 6 + 2y * 6) = 0 5v + -1y + (-30v + 12y) = 0 Reorder the terms: 5v + -30v + -1y + 12y = 0 Combine like terms: 5v + -30v = -25v -25v + -1y + 12y = 0 Combine like terms: -1y + 12y = 11y -25v + 11y = 0 Solving -25v + 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. -25v + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 -25v + 0 = 0 + -11y -25v = 0 + -11y Remove the zero: -25v = -11y Divide each side by '-25'. v = 0.44y Simplifying v = 0.44y
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