ln(y+2)-1=ln(y-2)

Solution for ln(y+2)-1=ln(y-2) equation:

Simplifying
ln(y + 2) + -1 = ln(y + -2)

Reorder the terms:
ln(2 + y) + -1 = ln(y + -2)
(2 * ln + y * ln) + -1 = ln(y + -2)
(2ln + lny) + -1 = ln(y + -2)

Reorder the terms:
-1 + 2ln + lny = ln(y + -2)

Reorder the terms:
-1 + 2ln + lny = ln(-2 + y)
-1 + 2ln + lny = (-2 * ln + y * ln)
-1 + 2ln + lny = (-2ln + lny)

Add '-1lny' to each side of the equation.
-1 + 2ln + lny + -1lny = -2ln + lny + -1lny

Combine like terms: lny + -1lny = 0
-1 + 2ln + 0 = -2ln + lny + -1lny
-1 + 2ln = -2ln + lny + -1lny

Combine like terms: lny + -1lny = 0
-1 + 2ln = -2ln + 0
-1 + 2ln = -2ln

Solving
-1 + 2ln = -2ln

Solving for variable 'l'.

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

Add '2ln' to each side of the equation.
-1 + 2ln + 2ln = -2ln + 2ln

Combine like terms: 2ln + 2ln = 4ln
-1 + 4ln = -2ln + 2ln

Combine like terms: -2ln + 2ln = 0
-1 + 4ln = 0

Add '1' to each side of the equation.
-1 + 1 + 4ln = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4ln = 0 + 1
4ln = 0 + 1

Combine like terms: 0 + 1 = 1
4ln = 1

Divide each side by '4n'.
l = 0.25n-1

Simplifying
l = 0.25n-1