An integrated valve and manifold assembly includes a water valve configured to control water flow from one or two valve outlets. At least one of the outlets is coupled to a manifold. In some examples, the manifold is a dual-extrusion manifold having at least one air channel and at least one water conduit, and the water valve has a pair of air channels attached to a periphery of the water valve and configured to couple to the manifold air channels. In examples wherein at least one of the manifolds is a dual-extrusion manifold, a top portion of the assembly includes an air valve configured to control flow of air to air channel(s) of the dual-extrusion manifold. In other examples, the assembly includes a one-outlet or two-outlet water valve configured to couple to water manifolds, with no attached air channels or air valves.
