I played this according to the reads at the table... normally I would fold this pre-flop, but as I was BB... I still think that I played it stupidly... OOP and probably behind every calling scenario...
Cake - $0.05/$0.10 - Holdem - 8 players
Hand converted by PokerTracker 3
BTN: $3.62
SB: $2.20
Hero (BB): $0.41
UTG: $1.25
UTG+1: $3.62
MP: $4.21
MP+1: $10.81
CO: $1.68
SB posts SB $0.02, Hero posts BB $0.05
Pre Flop: ($0.07) Hero has 6♥ 4♣
UTG calls $0.05, fold, fold, MP+1 calls $0.05, fold, fold, SB calls $0.03, Hero checks
Flop: ($0.20, 4 players) 6♦ J♦ A♥
SB checks, Hero checks, UTG checks, MP+1 checks
Turn: ($0.20, 4 players) 7♠
SB checks, Hero bets $0.10, fold, MP+1 calls $0.10, fold
River: ($0.40, 2 players) 8♠
Hero bets $0.10, MP+1 calls $0.10
On the river you can't valuebet as there is no weaker hand that could call you. You also can't bluff because it is unlikely a stronger hand folds if the flop was checked through. However there are some some busted draws that could bluff so check/calling looks good. I wouldn't check/call if there was more than one player left.