A used capsule moving assembly, said capsule (27; 23; 29) comprising: - a capsule body; - said capsule body comprising a capsule opening; - said capsule body extending about a longitudinal capsule axis (X-X); - said capsule body defining a capsule chamber adapted to receive a used or extracted or exhausted substance, such as for example used ground coffee; - said capsule chamber being initially closed by a lid, or closing film, fixed to said capsule body; wherein said assembly comprises: - a capsule blocking device which leaves the capsule opening accessible; - a used capsule moving device or picking and moving device; - said used capsule moving device, or picking and moving device, supports said capsule blocking device; - said used capsule moving device or picking and moving device moves said capsule blocking device by taking it in front of a used capsule cutting device, or used capsule opening device, or cutting device, adapted to partially open said lid; - said used capsule moving device or picking and moving device moves said capsule blocking device by taking it in front of an emptying device, adapted to empty said used or extracted or exhausted substance, such as for example used ground coffee, from said capsule body without breaking or otherwise destroying said capsule body; - said used capsule moving device or picking and moving device moves said capsule blocking device by taking it in front of an opened and emptied capsule collection device, or collection device, adapted to collect said capsule body from which said used or extracted or exhausted substance, such as for example used ground coffee, has been emptied; characterized in that said used capsule moving device displaces said capsule blocking device along a linear path (66, 67, 68) at least when said capsule blocking device is placed so as to take said capsule body with the longitudinal capsule axis (X-X) thereof in front of each of said cutting device, emptying device, collection device; and wherein said linear paths (66, 67, 68) are coincident with or parallel to said longitudinal capsule axis (X-X). - a capsule body; - said capsule body comprising a capsule opening; - said capsule body extending about a longitudinal capsule axis (X-X); - said capsule body defining a capsule chamber adapted to receive a used or extracted or exhausted substance, such as for example used ground coffee; - said capsule chamber being initially closed by a lid, or closing film, fixed to said capsule body; - a capsule blocking device which leaves the capsule opening accessible; - a used capsule moving device or picking and moving device; - said used capsule moving device, or picking and moving device, supports said capsule blocking device; - said used capsule moving device or picking and moving device moves said capsule blocking device by taking it in front of a used capsule cutting device, or used capsule opening device, or cutting device, adapted to partially open said lid; - said used capsule moving device or picking and moving device moves said capsule blocking device by taking it in front of an emptying device, adapted to empty said used or extracted or exhausted substance, such as for example used ground coffee, from said capsule body without breaking or otherwise destroying said capsule body; - said used capsule moving device or picking and moving device moves said capsule blocking device by taking it in front of an opened and emptied capsule collection device, or collection device, adapted to collect said capsule body from which said used or extracted or exhausted substance, such as for example used ground coffee, has been emptied; characterized in that said used capsule moving device displaces said capsule blocking device along a linear path (66, 67, 68) at least when said capsule blocking device is placed so as to take said capsule body with the longitudinal capsule axis (X-X) thereof in front of each of said cutting device, emptying device, collection device; and wherein said linear paths (66, 67, 68) are coincident with or parallel to said longitudinal capsule axis (X-X). characterized in that said used capsule moving device displaces said capsule blocking device along a linear path (66, 67, 68) at least when said capsule blocking device is placed so as to take said capsule body with the longitudinal capsule axis (X-X) thereof in front of each of said cutting device, emptying device, collection device; and wherein said linear paths (66, 67, 68) are coincident with or parallel to said longitudinal capsule axis (X-X).