A method of shaping a laminated glass structure includes providing the 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. The flexible glass structure and adhesive layer are ground using a first tool to remove glass material. The non-glass substrate is cut with a second tool different from the first tool through a kerf formed through the flexible glass structure 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.