Hydrodynamics has been very successful in describing the collective behavior of matter created at RHIC, such as single particle spectra and elliptic flow. However, most of the current models suffer from serious deficiencies, e.g. the assumption of boost-invariance (restriction to mid-rapidity), and an oversimplified treatment of hadronic freeze-out at a fixed temperature. Here, we present the results of a novel macroscopic/microscopic hybrid model, using a fully 3D non-boost-invariant hydrodynamic calculation for the deconfined phase coupled with with a non-equilibrium microscopic transport model (UrQMD) for the hadronic phase at RHIC. This includes viscous effects in the hadronic phase as well as a fully self-consistent treatment of the hadronic freeze-out. We will compare our results to available data, focusing on the rapidity dependence of the elliptic flow and other select observables. We shall discuss their dependence on initial conditions and the equation of state.