Gunasegaran Ramasamy was sentenced to the maximum 10 years' jail and 12 strokes of the cane for robbery with hurt by a district court. The sentence was backdated to November 18, 2013.
The 2001 case had remained unsolved for more than a decade.
Gunasegaran confessed in 2013 to the killing of a woman Soh San, whose body was found riddled with stab wounds. He pleaded guilty to one count of causing hurt while committing robbery and one count of consuming methamphetamine.
He spotted Soh, 28, between 8pm and 9pm near his block. He followed her into the lift, pulled out the knife and demanded money. She refused to give it. Gunasegaran stabbed her repeatedly until she collapsed onto him.
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Gunasegaran fled the scene after the incident. He spent the next decade in and out of prison for involving in many cases, including housebreaking, robbery and assault.
Methamphetamine was found in urine samples collected after his arrest. An autopsy showed Soh was stabbed nine times and died from wounds to her chest and abdomen, the newspaper reported.
Lawyer Ng Shi Yang, who defended Gunasegaran under the legal aid scheme, said the man has been "plagued by his conscience" and the crime was a "robbery gone awry".
The lawyer pointed out that had Gunasegaran not confessed to the crime, Soh's killing would have remained a cold case.
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