At their first meeting in Berlin on May 15, the new French President Francois Hollande and German Chancellor Angela Merkel both stuck to that line, proclaiming a common will to keep Greece in the eurozone. But on the same day, IMF chief Christine Lagarde warned that if Greece did not honor its budgetary commitments, Europe should be prepared for a Greek exit, “which must be orderly.”
It is unlikely that the eurozone will directly kick Greece out, both because there is no legal basis for it and because it would send the wrong signal. "Solidarity" is a term Chancellor Merkel has used often when referring to Greece. But Europe can create conditions that practically force Greece to exit on its own.
A large majority of Greeks – including those who reject the conditions of the bailout – oppose leaving the eurozone, according to recent polls.
It’s possible that, after June elections, a new Greek government will refuse to comply with requirements for receiving the bailout, ending payments to Greece and prompting the European Central Bank to stop the recapitalization of Greek banks.
To prevent its banking system from collapsing, Greece would have to leave the euro, switching to its new-old currency to provide funds for its banking system. If this happened, it's unlikely Greece would ever pay back its debt.