I mostly disagree here.
I haven't studied the Ideal Gas Law in almost four decades, and yet "there's only one way to do it".
Every parameter is linear, which is the simplest possible way they can appear in an equation, and the variables are pressure P, volume V, the "number of particles" (moles) n, and temperature T.
And there's only one rational way to put them together - PV = nRT.
Once you have a model in your head of a gas as "a lot of particles, each of which 'has a volume' proportional to its temperature and inversely to its pressure", you can't really forget that, and everything else flows through naturally.
And the math is as easy as it comes.
You might be more likely to forget how Hooke's law leads to sinusoidal oscillations, because it involves both a differential equation and a trip through complex numbers to really understand.