12=ln(3y-7)

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Solution for 12=ln(3y-7) equation:


Simplifying
12 = ln(3y + -7)

Reorder the terms:
12 = ln(-7 + 3y)
12 = (-7 * ln + 3y * ln)
12 = (-7ln + 3lny)

Solving
12 = -7ln + 3lny

Solving for variable 'l'.

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

Add '7ln' to each side of the equation.
12 + 7ln = -7ln + 7ln + 3lny

Combine like terms: -7ln + 7ln = 0
12 + 7ln = 0 + 3lny
12 + 7ln = 3lny

Add '-3lny' to each side of the equation.
12 + 7ln + -3lny = 3lny + -3lny

Combine like terms: 3lny + -3lny = 0
12 + 7ln + -3lny = 0

Add '-12' to each side of the equation.
12 + 7ln + -12 + -3lny = 0 + -12

Reorder the terms:
12 + -12 + 7ln + -3lny = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 7ln + -3lny = 0 + -12
7ln + -3lny = 0 + -12

Combine like terms: 0 + -12 = -12
7ln + -3lny = -12

Reorder the terms:
12 + 7ln + -3lny = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 7ln + -3lny = 0

The solution to this equation could not be determined.

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