Latin etymology helps here:
'affect' and 'accept' both have the prefix ad which means 'to'
'affect' means 'do something to you', 'accept' means 'take something to you'
'effect' and 'except' have the prefix ex which means 'out of, from'
'effect' means 'what comes out of a certain action'; 'except' means 'taking away'
Note that in both 'affect' and 'effect', there is the same second bit (fect), which means 'do'; 'accept' and 'except' have the same second bit (cep) which means 'take'.
SO: This situation affects me ('does something to me') and as an effect ('what comes out of me, my reaction') I am handing in my resignation.
AND: I accept ('take to me') your proposal as long as we except ('take out of the equation') the clause about EU workers.
Once you've started this etyomology game you can go on looking. If 'admit' means 'to let in', what does 'emit' (a truncated ex here) mean?