$S_n = u_1 + u_2 + u_3 +...+ u_n$
$u_n = 8n - 4$
$\Rightarrow S_n = (8.1 - 4) + (8.2 - 4) + (8.3 - 4)+...+ (8.n - 4)$
$\Rightarrow S_n = 8.(1+ 2 + 3+...+ n) - 4.n$
$\Rightarrow S_n = 8.\dfrac{n(n+1)}{2} - 4.n$
$\Rightarrow S_n = 4n(n+1) - 4n$
$\Rightarrow S_n = 4n(n + 1 - 1)$
$\Rightarrow S_n = 4n^2$