Thermodynamic properties of hydrogen-bonding (HB) lattice fluids have been represented by superposing Veytsmann statistics to physically interacting lattice models. In the present work the validity of the superposition was questioned. The normalization of Veytsman statistics was proposed to properly represent HB effect for use with physical interaction models. Also to circumvent the difficulties associated with the solution of a set of non-linear equations representing the number of HB pairs, an expansion method was proposed for explicit computation. This expansion together with You et al.'s explicit non-random lattices fluid model for physical interactions constitutes a complete explicit model. The applicability of the explicit model was illustrated for vapor-liquid equilibria of pentane-pentanol mixture.