A method for forming a container using a machine includes extracting a blank from a magazine, transferring the blank in a blank transfer direction X, and positioning the blank on a deck. The method also includes translating a pick-up assembly from a first end to a second end along a horizontal direction Y perpendicular to the blank transfer direction X, the translating including transferring a web from a first location proximate the first end to a second location proximate the second end. The method further includes depositing, at the second location, the web into an at least partially overlying relationship with the blank to form a blank assembly, transferring the blank assembly along the deck in the blank transfer direction X while translating the pick-up assembly from the second end back to the first end, and wrapping the blank assembly around a mandrel to at least partially form the container.