How do you find:
Equity Dec 2009
,when this is what you are given:

December 31, 2008
Assets 46,000
Liabilities 37,720
December 31, 2009
Assets 49,000
Liabilities ?
During year 2009
Stock issuances 6,000
Net income(loss) 11,270
Cash dividends 35,000

Use your accounting equation to find the missing equity for the first year.

Equity consists of stock and retained earnings. Retained earnings consists of net income less dividends.

You can use those two bits of information to solve this.