  We analyze two minimal supersymmetric constrained models with low-energy
vector-like matter preserving gauge coupling unification. In one we add to the
MSSM spectrum a pair of 5-plets of SU(5), in the other a pair of 10-plets. We
show that the muon g-2 anomaly can be explained in these models while retaining
perturbativity up to the unification scale, satisfying electroweak and flavor
precision tests and current LHC data. We examine also some related
phenomenological features of the models, including Higgs mass, fine-tuning,
dark matter and several LHC signatures. We stress that, at least for the 5-plet
model, the parameter space consistent with g-2 is entirely in reach of the LHC
with a moderate increase in luminosity with respect the current data set.
