High-precision calculations of the ground-state binding energy of beryllium-like molybdenum (Z = 42) have been performed.The applied approach combines rigorous quantum-electrodynamic (QED) consideration up to the second order of the perturbation theory within the Furry picture and account of correlation effects of the third and higher orders within the Breit approximation. Mixing of similar configurations of identical symmetry due to electron-electron interaction effects is considered using the QED perturbation theory for quasi-degenerate levels. The most accurate up-to-date theoretical predictions for the binding energy are obtained.