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Simplifying ln(y) + -4ln(3 + -2y) = 0 Multiply ln * y lny + -4ln(3 + -2y) = 0 lny + (3 * -4ln + -2y * -4ln) = 0 lny + (-12ln + 8lny) = 0 Reorder the terms: -12ln + lny + 8lny = 0 Combine like terms: lny + 8lny = 9lny -12ln + 9lny = 0 Solving -12ln + 9lny = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3ln'. 3ln(-4 + 3y) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4 + 3y)' equal to zero and attempt to solve: Simplifying -4 + 3y = 0 Solving -4 + 3y = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3y = 0 + 4 3y = 0 + 4 Combine like terms: 0 + 4 = 4 3y = 4 Add '-3y' to each side of the equation. 3y + -3y = 4 + -3y Combine like terms: 3y + -3y = 0 0 = 4 + -3y Simplifying 0 = 4 + -3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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