  We show that the correct dual hydrodynamic description of homogeneous
holographic models with spontaneously broken translations must include the
so-called "strain pressure" -- a novel transport coefficient proposed recently.
Taking this new ingredient into account, we investigate the near-equilibrium
dynamics of a large class of holographic models and faithfully reproduce all
the hydrodynamic modes present in the quasinormal mode spectrum. Moreover,
while strain pressure is characteristic of equilibrium configurations which do
not minimise the free energy, we argue and show that it also affects models
with no background strain, through its temperature derivatives. In summary, we
provide a first complete matching between the holographic models with
spontaneously broken translations and their effective hydrodynamic description.
