The closest inhabited system is 25.87 Ly. The next is 30.15 Ly, then 31.08 LY, 32.51 LY ... you get the point.
Whow, you must be way down in the last corner of inhabited space.
Sequence of events is as follows:
- You push your faction.
- In the pending states (right hand minor faction window) you see Pending States - Expansion
- After 3 days pending the state should become active
- at this time you will instantly enter the target system at 9.1% influence
- Expansion state will move to the recovering states.
If the expansion failed somehow, you should see a recovering state of Expansion without entering the state itself. Then it is time to contact FD.
EDIT: If the target system in 25.x ly distance has less than 5 minor factions it should be an eligible target. If it has 5 minor factions, you should try to get one minor faction down to 1% to kick it. We have no idea how kicking a faction out of a faction works, though, just a theory.
Best thing is to make a list of inhabited systems with distances and then check them one by one in case of expansion.