Instruction:-
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STEP 1: Make a note of the website address your are trying to access. For example:
http://www.nytimes.com/cnet/CNET_2100-1024_3-5567274.html
Or even just:
www.nytimes.com

STEP 2: Visit http://bugmenot.com

STEP 3: Enter the address from step 1 into the box and press the "Get Logins" button

STEP 4: You should now be presented with at least one username and password. Make a note of them.

STEP 5: Go back to the site you were originally trying to access in step 1 and proceed to login with the username and password you noted in the previous step.
With any luck you should be able to access your article now!