Transformations of Graphs - Composite Transformations

The curve whose equation is \(y = 1 - e^{x}\) undergoes, in succession, the following transformations:

A: Translation by \(5\) units in the positive x-direction.

B: Scaling by a scale factor of \(\frac{1}{3}\) parallel to the x-axis.

C: Translation of \(5\) units in the negative y-direction.

D: Scaling by a scale factor of \(\frac{1}{2}\) parallel to the \(y\)-axis.

Find the equation of the resulting curve.