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Simplifying y = ln(7y) Remove parenthesis around (7y) y = ln * 7y Reorder the terms for easier multiplication: y = 7ln * y Multiply ln * y y = 7lny Solving y = 7lny Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7lny' to each side of the equation. -7lny + y = 7lny + -7lny Combine like terms: 7lny + -7lny = 0 -7lny + y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-7ln + 1) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-7ln + 1)' equal to zero and attempt to solve: Simplifying -7ln + 1 = 0 Reorder the terms: 1 + -7ln = 0 Solving 1 + -7ln = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7ln = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7ln = 0 + -1 -7ln = 0 + -1 Combine like terms: 0 + -1 = -1 -7ln = -1 Add '7ln' to each side of the equation. -7ln + 7ln = -1 + 7ln Combine like terms: -7ln + 7ln = 0 0 = -1 + 7ln Simplifying 0 = -1 + 7ln The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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