$(1$ point$)$ Use the Laplace transform $to$ solve the following initial value problem:

$y^{\text{'}\text{'}}+10y^{\text{'}}+74y=(t-7),y(0)=0,y^{\text{'}}(0)=0$

Notation for the step function $isU(t-c)=u_c(t).$

$y(t)=U(t-7)$