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Simplifying ln(y + -6) = ln(y + 6) + ln(4) Reorder the terms: ln(-6 + y) = ln(y + 6) + ln(4) (-6 * ln + y * ln) = ln(y + 6) + ln(4) (-6ln + lny) = ln(y + 6) + ln(4) Reorder the terms: -6ln + lny = ln(6 + y) + ln(4) -6ln + lny = (6 * ln + y * ln) + ln(4) -6ln + lny = (6ln + lny) + ln(4) Reorder the terms for easier multiplication: -6ln + lny = 6ln + lny + 4ln Reorder the terms: -6ln + lny = 6ln + 4ln + lny Combine like terms: 6ln + 4ln = 10ln -6ln + lny = 10ln + lny Add '-1lny' to each side of the equation. -6ln + lny + -1lny = 10ln + lny + -1lny Combine like terms: lny + -1lny = 0 -6ln + 0 = 10ln + lny + -1lny -6ln = 10ln + lny + -1lny Combine like terms: lny + -1lny = 0 -6ln = 10ln + 0 -6ln = 10ln Solving -6ln = 10ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10ln' to each side of the equation. -6ln + -10ln = 10ln + -10ln Combine like terms: -6ln + -10ln = -16ln -16ln = 10ln + -10ln Combine like terms: 10ln + -10ln = 0 -16ln = 0 Divide each side by '-16'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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