I'll recommend what I did! Not sure if you're talking about LR or LG, but here's advice for LG, since you're talking about "LR games".

Learn to split into a LOT of game boards. For instance, assume you have a basic sequencing game, 6 game pieces, and 5 slots with two rules that are binary (X is in position 3 or 5) and (if Y is used, then Z is in position 2).

Split up the game into four boards. (Two boards with X in 3, two boards with X in 5, and each of the two sub-boards obeys one side of the "if Y" rule) That way, you have four boards for which you have a lot fewer pieces left to put in.

I recommend that in response to your problem because when I started practicing heavy splitting, it gave me a feeling of control over LGs that I didn't previously have. The control really helped my mentality while working through them. The method also gave me a lot of consistency in my approach which also helped my mentality, since I didn't feel like I was at the mercy of the section as much as before.