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It is their life to end.
It can prevent suffering to those that use it.
Many people can concur that physician-assisted suicide for diagnoses such as depression is wrong, and the line for what is considered acceptable is vague and ill-defined.
Many people can also concur that physician assisted suicide for having an itchy back is right; this however does not make it so.
Euthanasia is essentially murder. The person is alive, and killing them would be immoral.
It would be immoral to keep someone alive through physical and/or mental torment if they desire not to suffer through that.
In the case of terminally ill people, they're going to die no matter what. But by taking away the option of physician-assisted suicide you've robbed them of any choice in the matter and instead condemn them to a slow, painful death from their illness.
Everyone is going to die anyway.