Summary: In this paper, we consider the Cauchy problem for a system of elastic solids with voids. First, we show that a linear porous dissipation leads to decay rates of regularity-loss type of the solution. We show some decay estimates for initial data in \(H^s(\mathbb R)\cap L^1(\mathbb R)\). Furthermore, we prove that by restricting the initial data to be in \(H^s(\mathbb R)\cap L^{1,\gamma}(\mathbb R)\) and \(\gamma\in [0,1]\), we can derive faster decay estimates of the solution. Second, we show that by adding a viscoelastic damping term, then we gain the regularity of the solution and obtain the optimal decay rate.