The analysis of IR spectra of free OH groups in strongly dealuminated zeolite HY (Si/Al $\cong$ 100) restoring on desorption of ammonia or pyridine provides spectroscopic evidence for the homogeneity of $SiO_{1}HAl$ groups. The same conclusion is obtained by analysis of the IR spectra of OH and OD groups interacting (by hydrogen-bonding) with nitrogen at 170 K. The homogeneity of OH groups in strongly dealuminated HY is explained by the presence of only $(SiO)_{3}SiO_{1}HAl(OSi)_{3}$ groups. By contrast, heterogeneous OH groups are found in non-dealuminated HY (Si/Al=2.56) containing three kinds of OH groups of various acid strength: $(SiO)(AlO)_{2}SiO_{1}HAl(OSi)_{3}$, $(SiO)_{2}(AlO)SiO_{1}HAl(OSi)_{3}$ and $(SiO)_{3}SiO_{1}HAl(OSi)_{3}$. Our dealuminated sample is the only known example of a zeolite with strongly acidic homogeneous hydroxyls. It may be a model catalyst for strongly acidic homogeneous OH groups or a model system for spectroscopic studies (IR, NMR etc.).