But, I think I could probably afford to do so, if they offered $125k and provided an apartment (incl utilities).
It'd cost about $10k/y to fly back to Seattle every other weekend.
If it's just me, the food cost can be kept pretty reasonable (hell, add back in the ability to cook beef whenever I want and I can subsist largely on ramen if need be). So, supporting two households /could/, in theory, be possible.
Not, mind you, optimal.
(And I certainly wouldn't look forward to having to find a wrong-coast girlfriend. East coasters are crazy.)