ln(2y-1)=1+ln(3-y)

Solution for ln(2y-1)=1+ln(3-y) equation:

Simplifying
ln(2y + -1) = 1 + ln(3 + -1y)

Reorder the terms:
ln(-1 + 2y) = 1 + ln(3 + -1y)
(-1 * ln + 2y * ln) = 1 + ln(3 + -1y)
(-1ln + 2lny) = 1 + ln(3 + -1y)
-1ln + 2lny = 1 + (3 * ln + -1y * ln)
-1ln + 2lny = 1 + (3ln + -1lny)

Solving
-1ln + 2lny = 1 + 3ln + -1lny

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
-1ln + -3ln + 2lny = 1 + 3ln + -3ln + -1lny

Combine like terms: -1ln + -3ln = -4ln
-4ln + 2lny = 1 + 3ln + -3ln + -1lny

Combine like terms: 3ln + -3ln = 0
-4ln + 2lny = 1 + 0 + -1lny
-4ln + 2lny = 1 + -1lny

Add 'lny' to each side of the equation.
-4ln + 2lny + lny = 1 + -1lny + lny

Combine like terms: 2lny + lny = 3lny
-4ln + 3lny = 1 + -1lny + lny

Combine like terms: -1lny + lny = 0
-4ln + 3lny = 1 + 0
-4ln + 3lny = 1

Reorder the terms:
-1 + -4ln + 3lny = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -4ln + 3lny = 0

The solution to this equation could not be determined.