Background: Trying to install a ceiling lamp in dining room in a electrical box that was capped by the original builder. The electrical box appears to be connected to two light switches in the room. There are three wall switches on each spot and two of the switches control other ceiling lights. When I remove the cap, I can see one single exposed yellow wire (see attached photo) and one continuous looping wire that hangs down but has NO exposed ends.
Here's my question. To install the ceiling lamp, I need to attached the neutral and hot wire to the lamp. I believe the yellow exposed wire (in the photo is has some white paint on it) is the hot wire. The second wire that loops down and continues through the box appears to be the neutral wire (see photo long looping white wire on the left side of photo) but it has no exposed ends and is one continuous wire that travels thru.
So how do I handle this? Do i remove the insulation from the neutral wire without cutting it completely and attach that to neutral line from lamp? Is it ok to cut the wire in the middle.... then remove the insulation from both sides and attach both ends to the lamp and then attached the yellow wire to the hot side of the lamp?