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Simplifying x2 + -1y + ln(y + 1) + c = 0 Reorder the terms: x2 + -1y + ln(1 + y) + c = 0 x2 + -1y + (1 * ln + y * ln) + c = 0 x2 + -1y + (1ln + lny) + c = 0 Reorder the terms: c + 1ln + lny + x2 + -1y = 0 Solving c + 1ln + lny + x2 + -1y = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1ln' to each side of the equation. c + 1ln + lny + x2 + -1ln + -1y = 0 + -1ln Reorder the terms: c + 1ln + -1ln + lny + x2 + -1y = 0 + -1ln Combine like terms: 1ln + -1ln = 0 c + 0 + lny + x2 + -1y = 0 + -1ln c + lny + x2 + -1y = 0 + -1ln Remove the zero: c + lny + x2 + -1y = -1ln Add '-1lny' to each side of the equation. c + lny + x2 + -1lny + -1y = -1ln + -1lny Reorder the terms: c + lny + -1lny + x2 + -1y = -1ln + -1lny Combine like terms: lny + -1lny = 0 c + 0 + x2 + -1y = -1ln + -1lny c + x2 + -1y = -1ln + -1lny Add '-1x2' to each side of the equation. c + x2 + -1x2 + -1y = -1ln + -1lny + -1x2 Combine like terms: x2 + -1x2 = 0 c + 0 + -1y = -1ln + -1lny + -1x2 c + -1y = -1ln + -1lny + -1x2 Add 'y' to each side of the equation. c + -1y + y = -1ln + -1lny + -1x2 + y Combine like terms: -1y + y = 0 c + 0 = -1ln + -1lny + -1x2 + y c = -1ln + -1lny + -1x2 + y Simplifying c = -1ln + -1lny + -1x2 + y
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