Solve \( y=\frac{6}{3 x-7} \) for \( x \). Do not write \( x= \) in your answer. Provide your answer below:

To solve for \( x \), start by cross-multiplying to eliminate the fraction: \[ y(3x - 7) = 6. \] Now, distribute \( y \): \[ 3xy - 7y = 6. \] Next, isolate the term involving \( x \): \[ 3xy = 6 + 7y. \] Then, divide by \( 3y \) to solve for \( x \): \[ x = \frac{6 + 7y}{3y}. \]