In this case, the Supreme Court decided that the imposition of a life sentence without parole on a juvenile convicted of a non-murder offense violates the Eighth Amendment's prohibition of cruel and unusual punishment.

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Graham v. Florida is the case where the Supreme Court held that juveniles convicted of non-murder offenses cannot be sentenced to life imprisonment without parole, as it violates the Eighth Amendment's ban on cruel and unusual punishment.

In This Case, the Supreme Court Decided That the Imposition