Recently, by intercalating organic ions into bulk FeSe superconductors, two kinds of layered FeSe-based superconductors ((TBA)xFeSe and (CTA)xFeSe) with superconducting transition temperatures (T
c
) above 40 K have been discovered. Due to the large interlayer distance (~ 15 Å), these new layered superconductors have a large resistivity anisotropy analogous to bismuth-based cuprate superconductors. Moreover, remarkable pseudogap behavior well above T
c
is revealed by nuclear magnetic resonance (NMR) measurements on 77Se nuclei, suggesting a preformed pairing scenario similar to that of cuprates. Here, we report another new kind of organic-ion-intercalated FeSe superconductor, (PY)xFeSe, with a reduced interlayer distance (~ 10 Å) compared to (TBA)xFeSe and (CTA)xFeSe. By performing 77Se NMR and transport measurements, we observe a similar pseudogap behavior well above T
c
of ~ 40 K and a large resistivity anisotropy of ~ 104 in (PY)xFeSe. All these facts strongly support a universal pseudogap behavior in these layered FeSe-based superconductors with quasi-two-dimensional electronic structures.