@sargon:
So, what I am reading is that Air units can make a combat move up to four zones there and back and then a non-combat move of up to four zones?
No. When you move an air unit you cannot exceed its movement (4 for fighters/tactical bombers, 6 for strategic bombers, more if certain technology is researched). If it is meant to participate in a battle (limited to one) in that move, then you move it there for its combat move. After all combat is finished you move it the remainder of its flight (remember, you can’t land planes in territories you have captured on that turn except for onto carriers in sea zones, and if there’s nowhere for the plane to land you can’t send it in the first place unless it was caused by the destruction of an aircraft carrier).
Edit: removed inaccurate information