OK, you did bind off at the beginning of the both the rows first. That's kind of what confused me.
I see what's happening now.
It is a different way of working the neck, but what you're doing is is working one shoulder to completion. Then you're binding off the center stitches at the back of the neck and working the other shoulder.
So after you've bound off the 6 stitches at the beginning of the row, you should have 1 stitch left on your needle. Knit 10 more and turn the work as if you were done with the row. Bind off 4 stitches at the neck edge and purl the rest of the row, then bind off all your stitches. Your right shoulder is finished.
Cut the yarn from there and use it to bind off the center 24 stitches an work to the end--you can just start knitting with it--the bind off will secure the end just fine.
Then bind off 6 at the armhole end, finish the row. Bind off 4 at the neck edge, finish the row and then bind off all the rest.