A printing unit for printing a web of paper is provided. The printing unit includes a frame and at least an upper printing group and a lower printing group, each printing group including a blanket cylinder and a plate cylinder. The printing unit also including a cylinder support and movement and having at least one throw-on configuration in which the blanket cylinders are pressed against each other and against the plate cylinders, and at least one throw-off configuration in which the blanket cylinders are spaced apart from each other. In the throw-off configuration, the upper blanket cylinder has been raised by a first height relative to the position which it occupies in a throw-on configuration, and the lower blanket cylinder has been lowered by a second height relative to the position which it occupies in a throw-on configuration, and the second height is different from the first height.