Broberg went into the break with 2-1, where all three goals in the first half came within the space of two minutes right at the start of the match.
The second half got off to a flying start with three Bollnäs goals.
Erik Pettersson, who broke his contract with AIK, scored one of the goals himself and assisted up to the other two.
But the 2-4 lead was brought in.
In the 86th minute, Martin Söderberg made it 4-4.
But the drama was not over.
In the 90th minute, Riku Hämäläinen scored 4-5 before Erik Pettersson put the nail in the coffin with 4-6 in extra time.
The match ended 5-6 after a late home goal.
After the derby win, Hans Andersson paid tribute to new teammate Erik Pettersson.
- He means a lot with his poise on the pitch.
He attracts a lot of people, I only have nice words.
The team has taken five points in the first games and Andersson is not satisfied.
- There are many more gears.
There should be better order to what we are doing.
We can develop a lot, he says.