Rules question about a combo

[imFourth of Phils]

i really dont understand much, meaning

discarded emra

opponents choose to pay 5 or not

pay 5, emra on grave then shuffle
or
dont pay 5, emra will put on battlefield or emra automatically shuffle itself and grave to library cu of its ability

sorry for poor english

[griffin131]

Let's assume your opponent is dumb.
Emmy hits the graveyard. Emmys trigger on the stack after Rift. Opponent opts to not pay 5 life.
Emmy enters battlefield. Rift is done resolving.
Emmys trigger resolves, you shuffle your graveyard into your library and move one. Emmy stays on the battlefield.

[MtJesus-Johnson]

i really dont understand much, meaning

discarded emra

opponents choose to pay 5 or not

pay 5, emra on grave then shuffle
or
dont pay 5, emra will put on battlefield or emra automatically shuffle itself and grave to library cu of its ability

sorry for poor english

Emmy's ability states that the graveyard is shuffled-it actually has nothing to do with him. :D