In this article we study a δ-Ricci-Yamabe almost soliton within the framework of paracontact metric manifolds. In particular we study δ-Ricci-Yamabe almost soliton and gradient δ-Ricci-Yamabe almost soliton on K-paracontact and para-Sasakian manifolds. We prove that if a K-paracontact metric g represents a δ-Ricci-Yamabe almost soliton with the non-zero potential vector field V parallel to ξ, then g is Einstein with Einstein constant -2n. We also show that there are no para-Sasakian manifolds that admit a gradient δ-Ricci-Yamabe almost soliton. We demonstrate a δ-Ricci-Yamabe almost soliton on a (κ,μ)-paracontact manifold.

Keywords: Para-Sasakian manifold, (κ, μ)-paracontact manifold, Paracontact metric manifolds, δ-Ricci-Yamabe almost soliton, Einstein manifold, Harmonic vector field