Downing Street says it hopes to finalize the deal next week, after Parliament resumes sitting.
"Ted Heath lost and tried to form another government and tried to get another majority in Parliament". But Johnson said he backed May.
May's authority over her party was shattered by the election result. A party spokesman confirmed the resignation of Hill, a combative character who one former colleague said had helped create a "toxic" atmosphere at the heart of the government.
The change was unlikely to significantly quell unrest within the party.
Mr McDonnell said Mr Corbyn would decide the shadow cabinet positions, reiterating "It's a winning team I think we should hold together", adding there are also other positions to be filled. "This is still on", Corbyn told the Sunday Mirror newspaper.
The new statement came after Downing Street earlier said the DUP had agreed to the principles of an outline agreement to support a Conservative government. Some say her failure means the government must now take a more flexible approach to the divorce, potentially softening the exit terms.
"I asked for a categoric assurance that if any deal or scoping deal was done with the DUP there would be absolutely no rescission of LGBTI rights in the rest of the United Kingdom, in Great Britain, and that we would use any influence that we had to advance LGBTI rights in Northern Ireland".
The Tory manifesto vowed to withdraw Britain from the single market and the customs union, so that we can end free immigration and quit the EU court. As a millennial myself, I understand their concerns (and share many of them) and hopefully this is a shot across the bows to the Conservative Party not to take younger voters for granted. The election result means businesses still have no idea what trading rules they can expect in the coming years. We should remember this was, as you said at the beginning, a snap election.
The pound on Friday fell 1.7 and 1.4 percent against the U.S. dollar and the euro, respectively.
'It's vital that the Conservative Party stand firm on LGBT equality, and the Prime Minister makes that clear from the outset, ' she wrote. But one issue is that the Brexit talks are due to start on the 19th of this month.
Britain's largely pro-Conservative press questioned whether May could remain in power.
Labour's former shadow home secretary Yvette Cooper said the planned deal was "dodgy" and "unsustainable" - and also "irresponsible for the Northern Ireland peace process".
And although it has a female leader, it remains an overwhelmingly male, white bastion and is certainly more conservative than the Conservatives. "That's not a matter for me", she said.
She said: "We've got Theresa May squatting in Downing Street, we've got a full rebellion going on in the Conservative Party, we've got no idea as to what's going to be in this Queen's Speech, they have a manifesto that's been completely been repudiated by the public and indeed by Tory MPs themselves, and no idea what the DUP will agree to or not".
The arrangement with the DUP will make governing easier, but it makes some Conservatives uneasy.
This is usually a prime minister's moment of maximum power, but the early announcements, on Friday evening, instead exposed May's weakness: All five senior ministers stayed in their posts.
On Brexit, Mr Corbyn said he wants a "jobs-first Brexit" negotiated as quickly as possible along with guaranteeing the post-Brexit rights of European Union nationals living in the UK.
As rumours swirled about plots to oust May, Johnson denied he was planning a leadership challenge.
He said: "I am backing Theresa May".
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