If I purchase a game on a Steam account, can I play that game on a second account?

If you are confused i will clear it up...
Account 1 (mine) I purchased --> Left 4 Dead
Then I made a new account,
Account 2 (also mine) I didn't purchase anything yet.
Can I play Left 4 Dead with account 2?
Best Answer
Yes and no. Game licenses are tied to an account, so your new account will not own the game.
However, using Steam Family Sharing, you can set up your new account to play games from your old account. Once that is set up, yes, you will be able to play Left 4 Dead from your new account on that computer.
Note that this will not allow you to use one copy of Left 4 Dead to play with two people. Only one person can be playing games from the old account at a time. You also need to keep access to the old account so you can set family sharing up again on any future computers.
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Can I play a Steam game I bought on a different account?
Can all Steam games be shared with friends and family? No, due to technical limitations, some Steam games may be unavailable for sharing. For example, titles that require an additional third-party key, account, or subscription in order to play cannot be shared between accounts.Can I purchase a game on one account and then access it from a different account on the same console?
If you purchase a game on one account, you will only be able to re-download it from that account. If the account that purchased the content is on the same console as any other account you have on your console, those other accounts will be able to play all the games you purchased on the first account.Can 2 Steam accounts play the same game?
Steam won't allow shared accounts to play the same game library at the same time \u2014 even if you're playing different games, two people can't play from a single library at the same time.How to Create New Steam Account (Without Buying The Game Again)
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