[tex]\bf~~~~~~ \textit{Simple Interest Earned}\\\\
I = Prt\qquad
\begin{cases}
I=\textit{interest earned}\to &\$32\\
P=\textit{original amount deposited}\to& \$200\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
t=years
\end{cases}
\\\\\\
32=200(0.08)t\implies \cfrac{32}{200(0.08)}=t[/tex]