Final answer:
In legislative bodies like the U.S. Senate, a vote on the subsidiary motion to lay on the table can be reconsidered, allowing the body to review and possibly reverse a decision. The ability to reconsider is subject to specific parliamentary rules.
Step-by-step explanation:
The motion to lay on the table is utilized in parliamentary procedure, including legislative bodies such as the U.S. Senate, to suspend consideration of a proposal. Once a vote on this subsidiary motion has taken place and the matter is tabled, it can be subject to a motion to reconsider. In general, this motion to reconsider allows the body to review and possibly reverse a decision made on any main motion. However, in the context of certain parliamentary authorities, such as Robert's Rules of Order, a motion that has been laid on the table and subsequently taken up again can only be reconsidered if it hasn't been substantively altered or if no action has irrevocably been taken because of the tabled motion.