Answer
$$y=Ce^x-8$$
Work Step by Step
$$\frac{dy}{dx}=y+8$$
Rearranging,
$$\frac{dy}{y+8}=dx$$
Integrating both sides,
$$\int \frac{dy}{y+8}=\int dx
$$
$$ln(y+8)=x + C'$$
Taking both sides to the power of $e$,
$$y+8=e^{x+C'}=e^{C'}e^x = Ce^x$$
where $C=e^{C'}$.
Therefore,
$$y=Ce^x-8$$
