Ah-sweet mystery of life at last I found you!

[itsid]

So, lution...
You pick any six coins to make the division into two groups and flip them over; done.
(oh look, just one sentence )

remember there were 12 coins 6up 6down,
by selecting any six coins you'll always end up with
3up, 3down on both side
2up, 4down vs 4up, 2down
1up, 5down vs 5up, 1down
or
6up vs 6down

flipping "your" six coins you reverse "your" coins up to down and down to up...

'sid

 

[Poboy kartman]

I'll remember this one. Gives a whole new meaning to "flipping out".......