If the cable is broken on the inside of the car it isn't too difficult. Simply pull the cable out of the hood release bracket. Then peel back the outer housing to the small inner cable and pull that to release the hood latch. I have done that and it works.
On the other hand if the cable broke on the latch release lever under the hood that gets somewhat more difficult. I have never had that problem but if I did this is what I would try first.
Take out the six screws that hold the grill in from the outside. Then reach up through the opening to the left side of the latch. Make a hook on the end of a rod and insert that between the latch bracket and the top of the radiator support and attempt to catch the latch release lever and pull back to release the latch. It might take several tries but it might work.
Then there is another alternative. Take it to a body shop and see if they have some easier trick to open the latch. That might be a lot easier.
If the hood release cable on your 1989 Chevy Celebrity is broken at the inside pull handle you can simply pull the cable out a bit, then cut off the outer housing leaving the center cable. You can pull on that bit of cable and unlatch the hood. If the cable is broken at the actual hood latch you could try: The grill is held on with six screws, remove them and take the grill out. Then use a hook and reach in between the top of the radiator support bracket and the bottom of the latch mechanism and catch the lever with the hook. Pull the lever and release the latch. This may take multiple tries to get it right. Of course you want to change the cable as soon as possible, these methods become real nuisances quickly.
The petcock on a 1989 Chevy Celebrity is at the bottom of the radiator on the drivers side.
The oxygen sensor on a 1989 Chevy Celebrity is located in the rear exhaust manifold on top about the center.
The spark plug gap for your 1989 Chevy Celebrity 2.8 V6 is .045".
Looking in my factory service manual for a 1989 Chevy Celebrity I found no reference to an accessory relay.
The 1989 Chevy Celebrity V6 is rated at 130 hp.
on the side of the transmission
There is no fuse on the alternator.
HOW DO I OPEN HOOD ON CAR WHEN CABLE IS BROKEN
The thermostat on a 1989 Chevy Celebrity is located under the water outlet fitting. Follow the upper radiator hose, it will end at the water outlet.
No Chevy Celebrity ever had a 4.0L engine
All Chevy Celebrities have rack and pinion steering.