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Simplifying y2 + 6y + 8x + -15v = 0 Reorder the terms: -15v + 8x + 6y + y2 = 0 Solving -15v + 8x + 6y + y2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8x' to each side of the equation. -15v + 8x + 6y + -8x + y2 = 0 + -8x Reorder the terms: -15v + 8x + -8x + 6y + y2 = 0 + -8x Combine like terms: 8x + -8x = 0 -15v + 0 + 6y + y2 = 0 + -8x -15v + 6y + y2 = 0 + -8x Remove the zero: -15v + 6y + y2 = -8x Add '-6y' to each side of the equation. -15v + 6y + -6y + y2 = -8x + -6y Combine like terms: 6y + -6y = 0 -15v + 0 + y2 = -8x + -6y -15v + y2 = -8x + -6y Add '-1y2' to each side of the equation. -15v + y2 + -1y2 = -8x + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 -15v + 0 = -8x + -6y + -1y2 -15v = -8x + -6y + -1y2 Divide each side by '-15'. v = 0.5333333333x + 0.4y + 0.06666666667y2 Simplifying v = 0.5333333333x + 0.4y + 0.06666666667y2
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