Ln*(y-5)=ln*(y+3)-ln*6

Solution for Ln*(y-5)=ln*(y+3)-ln*6 equation:

Simplifying
Ln(y + -5) = ln(y + 3) + -1ln * 6

Reorder the terms:
nL(-5 + y) = ln(y + 3) + -1ln * 6
(-5 * nL + y * nL) = ln(y + 3) + -1ln * 6
(-5nL + nyL) = ln(y + 3) + -1ln * 6

Reorder the terms:
-5nL + nyL = ln(3 + y) + -1ln * 6
-5nL + nyL = (3 * ln + y * ln) + -1ln * 6
-5nL + nyL = (3ln + lny) + -1ln * 6

Reorder the terms for easier multiplication:
-5nL + nyL = 3ln + lny + -1 * 6ln

Multiply -1 * 6
-5nL + nyL = 3ln + lny + -6ln

Reorder the terms:
-5nL + nyL = 3ln + -6ln + lny

Combine like terms: 3ln + -6ln = -3ln
-5nL + nyL = -3ln + lny

Solving
-5nL + nyL = -3ln + lny

Solving for variable 'n'.

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

Add '3ln' to each side of the equation.
-5nL + 3ln + nyL = -3ln + 3ln + lny

Reorder the terms:
3ln + -5nL + nyL = -3ln + 3ln + lny

Combine like terms: -3ln + 3ln = 0
3ln + -5nL + nyL = 0 + lny
3ln + -5nL + nyL = lny

Add '-1lny' to each side of the equation.
3ln + -5nL + -1lny + nyL = lny + -1lny

Reorder the terms:
3ln + -1lny + -5nL + nyL = lny + -1lny

Combine like terms: lny + -1lny = 0
3ln + -1lny + -5nL + nyL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(3l + -1ly + -5L + yL) = 0

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(3l + -1ly + -5L + yL)' equal to zero and attempt to solve:

Simplifying
3l + -1ly + -5L + yL = 0

Reorder the terms:
-5L + 3l + -1ly + yL = 0

Solving
-5L + 3l + -1ly + yL = 0

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

Add '5L' to each side of the equation.
-5L + 3l + -1ly + 5L + yL = 0 + 5L

Reorder the terms:
-5L + 5L + 3l + -1ly + yL = 0 + 5L

Combine like terms: -5L + 5L = 0
0 + 3l + -1ly + yL = 0 + 5L
3l + -1ly + yL = 0 + 5L
Remove the zero:
3l + -1ly + yL = 5L

Add '-3l' to each side of the equation.
3l + -1ly + -3l + yL = 5L + -3l

Reorder the terms:
3l + -3l + -1ly + yL = 5L + -3l

Combine like terms: 3l + -3l = 0
0 + -1ly + yL = 5L + -3l
-1ly + yL = 5L + -3l

Add 'ly' to each side of the equation.
-1ly + ly + yL = 5L + -3l + ly

Combine like terms: -1ly + ly = 0
0 + yL = 5L + -3l + ly
yL = 5L + -3l + ly

Add '-1yL' to each side of the equation.
yL + -1yL = 5L + -3l + ly + -1yL

Combine like terms: yL + -1yL = 0
0 = 5L + -3l + ly + -1yL

Simplifying
0 = 5L + -3l + ly + -1yL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}