Different turbulence models have different requirements and guidelines for the appropriate range of y+ values. Usually for the standard high Reynolds k-epsilon model,a y+ value between 30 and 200 is typically recommended.

before talking about the type of turbulence models, it is fondamental to talk about the type of formulation you use, that is RANS, LES, DES, hybrid formulations.

Y+ is a function definining the position along the BL, therefore it say how you resolve or not it.

I agree with all the previous answers. I would add that RANS models like k-epsilon and k-omega SST often do not rely on wall functions, in which case you would still like a y+ of about 1.0 to resolve the flow at the wall.