Was this the right call?

PokerStars No-Limit Hold'em, $0.10 BB (7 handed) from (Format: FlopTurnRiver)

Hero ($12.90)
UTG ($11)
MP1 ($24.30)
MP2 ($9.75)
CO ($10)
Button ($15.55)
SB ($20.05)

Preflop: Hero is BB with 8, 7. CO posts a blind of $0.10.
3 folds, CO (poster) checks, 1 fold, SB raises to $0.5, Hero calls $0.40, CO calls $0.40.

Flop: ($1.50) T, 9, 7 (3 players)
SB bets $0.7, Hero calls $0.70, CO raises to $3, SB calls $2.30, Hero calls $2.30.

Turn: ($10.50) K (3 players)
SB checks, Hero checks, CO bets $6.5 (All-In), SB folds, Hero calls $6.50.

River: ($23.50) 4 (2 players, 1 all-in)

Final Pot: $23.50

The subject of your post is the reason you call that turn. You have a ridiculous amount of outs to improve and he's cannot even bet full pot on that turn.

It's a call, but it's closer than you might think.

Let's put the guy on T9. (He could have less, but he could also have a set which puts you in worse shape.)

In this case, your outs are four 6s, four Js, and six spades: the nine spades outstanding minus the and the which you've already counted, and also minus the as that will boat him up.

14 outs.

14 times you win $17.00. (The amount in the pot before you call.)

52 - 2 (your cards) - 2 (his cards) - 4 (cards on the board) - 14 (your winners) = 30 times you lose $6.50.

14 * 17 = +$238.
30 * 6.5 = -$195.
Total, +$43.

If you realize you're paying about $1.00 in rake every time you win, that's another -$14. So your +EV making this call is only +$29, or about 66 cents every time you make the call.

Did I do that right?