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Simplifying e4y + -1ln(y2 + 3) = 2x Reorder the terms: e4y + -1ln(3 + y2) = 2x e4y + (3 * -1ln + y2 * -1ln) = 2x e4y + (-3ln + -1lny2) = 2x Solving e4y + -3ln + -1lny2 = 2x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '3ln' to each side of the equation. e4y + -3ln + 3ln + -1lny2 = 3ln + 2x Combine like terms: -3ln + 3ln = 0 e4y + 0 + -1lny2 = 3ln + 2x e4y + -1lny2 = 3ln + 2x Add 'lny2' to each side of the equation. e4y + -1lny2 + lny2 = 3ln + lny2 + 2x Combine like terms: -1lny2 + lny2 = 0 e4y + 0 = 3ln + lny2 + 2x e4y = 3ln + lny2 + 2x Divide each side by 'y'. e4 = 3lny-1 + lny + 2xy-1 Simplifying e4 = 3lny-1 + lny + 2xy-1 Reorder the terms: e4 + -3lny-1 + -1lny + -2xy-1 = 3lny-1 + -3lny-1 + lny + -1lny + 2xy-1 + -2xy-1 Combine like terms: 3lny-1 + -3lny-1 = 0 e4 + -3lny-1 + -1lny + -2xy-1 = 0 + lny + -1lny + 2xy-1 + -2xy-1 e4 + -3lny-1 + -1lny + -2xy-1 = lny + -1lny + 2xy-1 + -2xy-1 Combine like terms: lny + -1lny = 0 e4 + -3lny-1 + -1lny + -2xy-1 = 0 + 2xy-1 + -2xy-1 e4 + -3lny-1 + -1lny + -2xy-1 = 2xy-1 + -2xy-1 Combine like terms: 2xy-1 + -2xy-1 = 0 e4 + -3lny-1 + -1lny + -2xy-1 = 0 The solution to this equation could not be determined.
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