Take this message with a grain of salt, because it's almost entirely about the clarity of your solution.
Weigh 3.3 is confusing. You don't address what happens if G1 is light. (you can arbitrarily relabel things to make G1 the heavier side, but you specifically said 'G1 from weigh 1', which was never clear whether it was the heavier or lighter).
Also, if abe is heavy, it could be simply because f is light, on the other side. You don't clearly break out all of the cases in a readable form, so I can't tell whether you took that possiblity into account.
It could just be a problem of clarity, because I think you've basically got it, but I can't be sure.
I would suggest _either_ arbitrarily saying that abcd are the heavier coins from the unbalanced weighing, as labelled in 2.1, since you can label them any way you like, OR handle the heavy and light cases separately in weighing 3.3.
But you're so very close. You probably already have it. You've definitely got the right angle of attack.
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