Abstract: A hydraulically-driven deburring shear assembly used to remove dross from the edges of a slab of steel that has been torch cut. The assembly comprises a table assembly, a pair of arms, and a knife assembly. Each arm is adapted to alternately act as a pinch roll and a pusher arm to effect the consecutive deburring of opposed edges of a slab of steel, as follows. After the slab of steel is placed on the table, one of the arms is lowered to rest on the slab and apply a downward pressure on the slab, and the other arm is lowered to come into contact with the leading edge of the slab. At the same time, the knife assembly is raised to the level of the table. The other arm then pushes the leading edge of the slab back over the knife assembly to shear the dross from the edge. Both arms are then raised, the knife assembly is lowered, and the slab is traversed in the forward direction.