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The Battle of Long Island is also referred to as the Battle of Brooklyn Heights and took place on Tuesday, August 27, 1776 at Long Island, New York. The very day of the evacuation of British forces following the Siege of Boston on March 17, 1776, George Washington ordered 5 regiments of the Colonial Army to New York.

veronica3060
The battle of Long Island is also known as the battle Brooklyn and the battle Brooklyn Heights the victory over the Americans give British control of strategy important to New York City

Hope this sums it up for you ;)