Turning lights not working

Question edited for clarity.
Question moved to sub category.

check fuse Stop/Haz Haz. Flasher, Seat Belt Buzzer, Stop Lmps., A.B.S. Memory and the flasher itself.
https://www.google.com/search?q=1992+chevy+suburban+hazard+flasher+location

Fuse Box Diagram Chevrolet Suburban (GMT400; 1993 ...

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Fuse box diagram (location and assignment of electrical fuses and relays) for Chevrolet (Chevy) Suburban (GMT400; 1993, 1994, 1995, 1996, 1997, 1998, 1999)

bad multi-function switch

That's a turn signal flasher. They are usually round and mounted on or near the fuse panel.

http://wiki.answers.com/Q/Where_is_the_turn_signal_flasher_on_a_1996_Chevy_Blazer

Try this.

you have a separate flasher for the turn signals.this is what your problem sounds like.if all your lights are working including the signal indicator on the dash then it will be the signal flasher.if you turn on the hazard flashers and locate it under the dash, this will show you what the turn signal flasher will look like.then you will have to look for the flasher unit on the fuse panel that looks like the hazard flasher.replace the turn signal flasher and you will have your signal flashers again

Replace the Turn Signal Flasher Relay. It has 2 relays. One for the Hazard lights and one for the Turn Signals. The Turn Signal Flasher Relay is located Front seating area, driver side, passenger side of steering column, under dash, mounted near cigarette lighter. Optional mounting location is under dash, on driver side of steering column. (Curtorsey Auto Zone)

I'd look into the multifunction switch. That controles both hazard and turn.

Locate signal flasher & swap with hazard & see if the opposite occurs, if it does, replace flasher.

Try replacing the Flasher first before spending to much money for a possible simple fix. If it's not your flasher then it could be the turn signal leaver.
Ok, this may seem stupid, but that's what they did to the blazer. They set the flasher near the middle and under the center console behind the radio.

It's to the left of the radio right behind the dash. The hazard flasher and the turn signal flasher are side by side.  It right next to the Cig lighter behind the panel. They do mark the turn signal from the hazard flasher on the plastic behind them. Turn is on the right.

Good luck and hope this helps.

Combination switch in the steering column is most likely bad