For one, no good in goodbye (6)

'goodbye' is the definition.
I don't know anything about this answer so I can't tell whether this works.

'for one no good' is the wordplay.
I cannot really understand how this works, but
'one' could be 'solo' (I've seen this before) and 'solo' is located in the answer.
'no' could be 'n' (common abbreviation y/n) and 'n' is found within the answer.
'good' could be 'g' (abbreviation) and 'g' is found in the answer.
This accounts for all the letters.
This explanation may well be incorrect...

'in' is the link.

Can you help me to learn more?