Take note parts removed from the pre-amp and op-amp stage and do the same. Choose your own method, though I personally use a hot air station (watch some videos on Youtube on how this is safely and correctly done). Then start wiring your digital left and right channels, the power channel, and ground channels into place (using the finished install pic above for reference).
The analog audio channels are going to be a little more tricky. You'll need to desolder the analog audio pins from the SSDS3 board, or flush-cut them as close to the board as possible. These are the outside-most 3 pins on the top, middle, and bottom. Once all three pins are desoldered and/or flush-cut from the SSDS3 board, you can actually slip them out of the black interface socket. Please do so, and disregard the shortest pin of the lot.
Next, your going to take the longest pin (that previously was used in the top pin socket), and flip it upside down to use in the bottom expansion hole nearest to the SSDS3 mainboard. This will cause the pin to bend upward instead of downward. Likewise, take the middle-side pin and insert it upside-down in the top expansion port slot.
Lastly, solder wires to the pins and wire them up accordingly. Below is a quick and dirty example of this (though I had snipped the top-most pin's upward bend by this point anyway):