The original curve is \(y = \sin 2x - 5x\).

First, reflect the curve in the \(y\)-axis. This changes \(x\) to \(-x\), so the equation becomes \(y = \sin(-2x) - 5(-x) = -\sin 2x + 5x\).

Next, stretch the curve by a scale factor of \(\frac{1}{3}\) in the \(x\)-direction. This changes \(x\) to \(\frac{x}{\frac{1}{3}} = 3x\), so the equation becomes \(y = -\sin(2 \cdot 3x) + 5(3x) = -\sin 6x + 15x\).