Before you do ANYTHING, download the SCA-80Q assembly manual at the link so generously provided by Bob:
Dynaco SCA-80Q assembly manualIt includes the circuitry for the amplifier, printed circuit board diagrams, a parts list, and troubleshooting instructions (including "SERVICE INFORMATION FOR THE TECHNICIAN, for qualified personnel only). If you are new at this, I would recommend reading especially Pages 28-30 thoroughly before proceeding, before ordering ANY parts of any kind, and before starting to poke around at the amplifer...particularly with the power ON!
The manual is for the SCA-80Q; the SCA-80 is electrically identical. Only the hookup for the optional Dyna derived-four-channel speaker hookup is different, and you can ignore that.
Yes, the output coupling capacitors (the big cans with wires wound around them) do go bad in the SCA-80 and the Stereo 80 and Stereo 120, which are basically the same amplifier; in the Heathkit AR-15, Pioneer SX-1000, and others...any transistor amplifier with a quasi-complimentary symmetry output stage. IF you have an electrolytic capacitor of anything between 1000µF and 6000µF, and a MINIMUM working voltage 80 volts, you can check them by temporarily connecting your test capacitor to the terminals on the ones in the amplifier. OBSERVE POLARITY! There is a positive terminal and a negative one. If that clears up the problem immediately, you need to replace the output coupling capacitor with one of correct or near-correct capacitance, 5000µF, but you MUST retain the coil of wire around the existing capacitor, or use something functionally equivalent, as it is an inductor to roll off high frequency response over 20KHz and suppress oscillation (that's why the "capacitor & coil set" mentioned above as being offered on EBay).
If you have a voltmeter, check the DC voltage at the POSITIVE terminal of the output coupling capacitors. It should be in the 30-40 volt range (technically, if the circuit is operating perfectly, that voltage will be ONE-HALF of the power supply voltage for the amplifier boards). It should be close to the same on both channels. If not, one or more transistors has failed. The assembly manual has instructions on how to check them, but it takes some expertise (do you know the difference between the Base and Collector on a transistor?).
Before retiring from audio repair, I fixed many of the SCA-80 and similar Dynaco amplifiers. They are not that hard to fix, though many were passed on to me by other techs who either gave up or were scared of them. They do have more different common failure modes than do the common Japanese mid-fi transistor amplifiers. The easiest one, in fact, was a Stereo 120 that had your exact symptom, with NO voltage anomalies, and good output coupling capacitors. It had an bad input transistor...and that was all. But DO NOT count on this being the problem on yours!