A method of shaping a laminated glass structure comprising a flexible glass sheet having a thickness of no greater than about 0.3 mm laminated to a non-glass substrate by an adhesive layer is provided. The method includes cutting the laminated glass structure with an abrasive cutting jet including a pressurized cutting fluid and abrasive particles thereby forming a shaped laminated glass structure. A glass edge strength of a cut edge of the shaped laminated glass structure is at least about 20 MPa.