I am a long time poker player trying to switch from tournaments to playing some $1/2 NL. I have a question about pot odds in multiway pots. My question arose in the following hand:

8 way limp pot. I have Tc7s and call. About $16 in the pot.

Flop: 7c9cJc
One player bets $15, I call, another player after me calls, and everyone else folds.

Pot is now about $60. Turn: 7d
Raiser bets $40. My question is at this point, what should I do? More specifically, if I put the raiser on a made flush, my other opponent on a high flush draw, and give myself only the outs to a boat or quad 7's, my equity is 23%. Calculating pot odds as usual, I need 40/100 or 40% to call. However, I know from playing at this type of table before if I call the 3rd player will probably call. If I assume this, I could figure pot odds of 40/140, or 28%. I know if I hit the boat or quads I will get paid out a bit by the made flush, which gives me implied odds to make the 28% vs 23% call, but not a 40% vs 23% call. How should I calculate the decision and what is the best way to play this type of hand?

There are two things that directly cross my mind.
1) you have very narrow ranges for both opponents. You totally exclude two pairs and sets and they could both have a flush draw or pair + flush draw. So the first thing would be to look against a broader range.

2) if you come up with a very close decision (and i am not even saying this is the case here), it mostly depends on your personal player type. If you like to put in money in marginal +ev spots, then go ahead, but you should be clear that with your analysis this is a very marginal spot and a fold is never wrong in these kinds of situations

Also... why the title of this thread? This is definitely the cleanest out you have, but you don't mention it in your text at all and it should not really matter

Fold pre, fold flop. Less math and more playGood.