A heat-shrinkable bag has a means for initiating a manual tear that can be propagated to open the bag and allow a product to be readily removed therefrom, without the use of a knife or scissors or any other implement. The bag is made from a heat-shrinkable multilayer film having a Peak Load Impact Strength of at least 50 Newtons per mil. The means for initiating tearing results in a first tear in the first side of the bag, and a second tear in the second side of the bag. The first tear and the second tear are each capable of being manually propagated through a heat seal and across the bag, or down the length of the bag, with the tear being capable of being manually propagated through and to an opposite bag edge, so that the product inside a package can be readily removed from the bag. A process for making a package and manually opening the package, comprises placing a product inside the bag, sealing the bag closed, shrinking the film around the product, manually initiating and manually propagating the first and second tears, and readily removing the product from the bag.