To set up IPv6 addressing that includes the MAC address of each connected machine, the network administrator should implement EUI-64 and SLAAC (Stateless Address Autoconfiguration). EUI-64 is a method used in IPv6 to automatically generate the interface identifier part of the address from the MAC address of the network card, thereby embedding the MAC address in the IPv6 address. SLAAC is a mechanism where a device can assign itself a unique IPv6 address in conjunction with the EUI-64 process, without the need for manual configuration or the necessity of DHCP. These two methods combined enable each device on the network to automatically configure its own IPv6 address that includes its MAC address in a stateless manner.