I still don’t completely understand commutators

Some algs can be scary, but the mathematical principle is really easy: if you do X, and then X' the cube is back to its solve state. When there is a face where there is only a tiny bit of change, let’s say a corner twist, if you turn that face after X, by doing X' you will solve the rest of the cube, and instead of twisting the same corner, you’ll twist the corner that is where the twisted corner was.

An example of corner twisting.

An exemple of corner swapping

An explanation where it ticked for me: https://www.ryanheise.com/cube/commutators.html

If you are more a video person.

Doing non-wca twisty puzzle, commutators are a must.

That’s also the case for patterns on big cubes.