The competing effects of slow structural relaxations (aging) and deformation at constant strain rate on the shear yield stress Ï„y of simple model glasses are examined using molecular simulations. At long times, aging leads to a logarithmic increase in density and Ï„y. The yield stress also rises logarithmically with rate but shows a sharp transition in slope at a rate that decreases with increasing age. We present a simple phenomenological model that includes both intrinsic rate dependence and the change in properties with the total age of the system at yield. As predicted by the model, all data for each temperature collapse onto a universal curve.