Transformations of Graphs

The curve whose equation is \({y = \frac{1}{x-1}}\) undergoes, in succession the following transformations:
A: Translation by \({2}\) units in the negative \({x}\) direction.
B: Scaling by a scale factor of \({3}\) parallel to the \({x}\)-axis.
C: Translation of \({6}\) units in the positive \({y}\)-direction.
D: Scaling by a scale factor of \({5}\) parallel to the \({y}\)-axis.
Find the equation of the resulting curve.