A machine for distributing blowing wool from a bag of compressed blowing wool is provided. The machine includes a chute having an inlet end configured to receive the bag of compressed blowing wool. A shredding chamber is associated with the chute and configured to shred and pick apart the blowing wool. The shredding chamber includes a plurality of shredders. Each shredder has a plurality of paddle assemblies mounted for rotation on a shredder shaft in a manner such that paddle assemblies on one shredder shaft correspond to paddle assemblies on an adjacent shredder shaft. Each of the plurality of paddle assemblies on one shredder shaft has a major axis and each of the corresponding paddles assemblies on the adjacent shredder shaft has a major axis. The plurality of paddle assemblies is arranged such that the major axes of the corresponding paddle assemblies have an indexed arrangement.