An automated process for separating and recycling a broad mix of waste material including, but not limited to, paper and flexible plastics. A materials recovery facility (MRF) collects, presorts, and separates into individual commodities the material, then separates partially processed 2D blends from 3D containers, while refraining from any quality control of the 2D blends, and bales the 2D blends. A fiber center receives the bales from the MRF, aggregates the partially processed 2D blends, removes recyclable commodities including flexible plastics from the 2D blends, aggregates each recyclable commodity that is removed from the 2D blends, and forms separate commodity streams of clean paper and clean flexible plastics. Also provided are a related fiber center (and an infrastructure including the center) and at least one computer-readable non-transitory storage medium embodying software for performing the process.