Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval $I$ of definition for each solution.\\
$\frac{dy}{dt} + 30y = 24$; $y = \frac{4}{5} - \frac{4}{5}e^{-30t}$ \\
When $y = \frac{4}{5} - \frac{4}{5}e^{-30t}$,\\
$\frac{dy}{dt} = $\\
Thus, in terms of $t$,\\$ \frac{dy}{dt} + 30y = $ $+ 30(\frac{4}{5} - \frac{4}{5}e^{-30t})$ \\
$=$