y+1-ln(y+1)=ln(x)-x

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Solution for y+1-ln(y+1)=ln(x)-x equation: 


Simplifying
y + 1 + -1ln(y + 1) = ln(x) + -1x

Reorder the terms:
y + 1 + -1ln(1 + y) = ln(x) + -1x
y + 1 + (1 * -1ln + y * -1ln) = ln(x) + -1x
y + 1 + (-1ln + -1lny) = ln(x) + -1x

Reorder the terms:
1 + -1ln + -1lny + y = ln(x) + -1x

Multiply ln * x
1 + -1ln + -1lny + y = lnx + -1x

Solving
1 + -1ln + -1lny + y = lnx + -1x

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-1lnx' to each side of the equation.
1 + -1ln + -1lny + -1lnx + y = lnx + -1lnx + -1x

Reorder the terms:
1 + -1ln + -1lnx + -1lny + y = lnx + -1lnx + -1x

Combine like terms: lnx + -1lnx = 0
1 + -1ln + -1lnx + -1lny + y = 0 + -1x
1 + -1ln + -1lnx + -1lny + y = -1x

Add '-1' to each side of the equation.
1 + -1ln + -1lnx + -1lny + -1 + y = -1 + -1x

Reorder the terms:
1 + -1 + -1ln + -1lnx + -1lny + y = -1 + -1x

Combine like terms: 1 + -1 = 0
0 + -1ln + -1lnx + -1lny + y = -1 + -1x
-1ln + -1lnx + -1lny + y = -1 + -1x

Add '-1y' to each side of the equation.
-1ln + -1lnx + -1lny + y + -1y = -1 + -1x + -1y

Combine like terms: y + -1y = 0
-1ln + -1lnx + -1lny + 0 = -1 + -1x + -1y
-1ln + -1lnx + -1lny = -1 + -1x + -1y

Reorder the terms:
1 + -1ln + -1lnx + -1lny + x + y = -1 + -1x + -1y + 1 + x + y

Reorder the terms:
1 + -1ln + -1lnx + -1lny + x + y = -1 + 1 + -1x + x + -1y + y

Combine like terms: -1 + 1 = 0
1 + -1ln + -1lnx + -1lny + x + y = 0 + -1x + x + -1y + y
1 + -1ln + -1lnx + -1lny + x + y = -1x + x + -1y + y

Combine like terms: -1x + x = 0
1 + -1ln + -1lnx + -1lny + x + y = 0 + -1y + y
1 + -1ln + -1lnx + -1lny + x + y = -1y + y

Combine like terms: -1y + y = 0
1 + -1ln + -1lnx + -1lny + x + y = 0

The solution to this equation could not be determined.

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