The act of vomitting while deffecating, or the need to do both at the same time, usually occurs while inebriated. An obvious compound of SHit and PUKE. "shpuked, shpuking"
I was dropping a deuce and had to puke, so I pinched off a loaf, turned around and puked in the toilet, making me puke again, just because of the smell.
I puked in your bathtub while sitting on the jon taking a crap.