WASHINGTON—The Supreme Court on Thursday rejected the Trump administration’s decision to cancel a program that provided legal protections and work authorizations to undocumented immigrants who came to the U.S. as children.

The court, in a 5-4 opinion by Chief Justice John Roberts, said the administration acted arbitrarily when it moved to end the Deferred Action for Childhood Arrivals program, failing to offer an adequate explanation for doing so.

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