The article explores how economies with many goods can reach a balance between supply and demand. By using extended price systems and various types of preferences, equilibrium can be achieved even with infinite commodities. The researchers show that equilibrium can exist without strict monotonicity assumptions. They also demonstrate that classic proofs for equilibrium in finite-dimensional cases can be adapted to economies with many goods. Additionally, the study examines different ways to relax the assumption of uniform properness in economic models.