Alchemical molecular dynamics simulations are performed to determine the difference in the free energy of binding of the tyrosine substrate between the wild type of tyrosyl-tRNA synthetase (TyrRS) from Bacillus stearothermophilus and the mutant Tyr169-->Phe. The results are of general interest because the Tyr169 hydroxyl group interacts with the ammonium group of the substrate in a manner corresponding to that found in other amino acid binding proteins (e.g. the Asp receptor of the chemotactic bacterium Salmonella typhimurium and class I major histocompatibility complex molecules). The calculated free-energy change due to the Tyr169-->Phe mutation is 3.4 kcal/mol (the statistical error is +/- 0.5 kcal/mol) in satisfactory agreement with the experimental value of 3(+/- 0.5) kcal/mol. By use of thermodynamic integration, the contribution of the different terms to the free energy change are estimated. The path dependence of such a decomposition is discussed and it is suggested that the alchemical choice is of primary interest for understanding the interactions involved. There are large protein contributions to the alchemical free energy difference of the bound and free enzyme that cancel in the overall result. Due to this cancellation, the essential interactions contributing to the free-energy change are those between the OH group of Tyr169 and water in the free enzyme and those between the OH group of Tyr169 and the ammonium group of the substrate in the bound system. The results thus support simple models based on a balance of hydrogen bonding interactions.