After building the 4x4 centers you can proceed with Pairing Edges like the 4x4x4 puzzle. Once the edges paired, the cube can be solved like a regular 3x3x3 puzzle (Reduction). Then, if applicable, look for Parity cases.
L2CLast 2 Centers
The algorithms depicted in this section doesn't cover every scenario. I suggest using them as training wheels to help you understand the cube mechanics.