Solve for \( y \). \( \frac{8}{4 y-24}-1=\frac{2}{y-6} \) If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". \( y=\llbracket] \)

Solve the equation \( \frac{8}{4y-24}-1=\frac{2}{y-6} \). Solve the equation by following steps: - step0: Solve for \(y\): \(\frac{8}{4y-24}-1=\frac{2}{y-6}\) - step1: Find the domain: \(\frac{8}{4y-24}-1=\frac{2}{y-6},y\neq 6\) - step2: Divide the terms: \(\frac{2}{y-6}-1=\frac{2}{y-6}\) - step3: Multiply both sides of the equation by LCD: \(\left(\frac{2}{y-6}-1\right)\left(y-6\right)=\frac{2}{y-6}\times \left(y-6\right)\) - step4: Simplify the equation: \(8-y=2\) - step5: Move the constant to the right side: \(-y=2-8\) - step6: Subtract the numbers: \(-y=-6\) - step7: Change the signs: \(y=6\) - step8: Check if the solution is in the defined range: \(y=6,y\neq 6\) - step9: Find the intersection: \(y \in \varnothing \) The equation \( \frac{8}{4y-24}-1=\frac{2}{y-6} \) has no solution. Therefore, there is no value of \( y \) that satisfies the equation.