Last weekend, the Swans were somehow forced to share the points with Wolves after dominating the match only to concede twice late for a 2-2 draw.
On Saturday at the Liberty Stadium, Swansea led 2-0 before a Danny Graham own-goal gave Bolton some hope but Dyer says some hard work during the week enabled the players to maintain a positive outlook and hang onto the ball for an eventual 3-1 win.
"We were well on top when the second went in but then we missed a few chances and when they got one back in the back of my mind I was thinking 'not again'," he said.
"But the gaffer had prepared us for that in training and the hard work paid off. We worked really hard after conceding two poor goals at Wolves, and we were very determined not to let it happen again.
"This time we kept to our style, kept playing football and made them chase us for the ball instead of giving it back to them."