Question: Solve the given third-order initial value problem using the method of Laplace transforms:

\[\begin{aligned} & y'''+4y''+y'-6y=-12; \\ & y\left( 0 \right)=-4,\,\,y'\left( 0 \right)=4,\,\,y''\left( 0 \right)=-2 \\ \end{aligned}\]