Title: Battle of Setauket
Content:  In 1776 the British had qualified success in the American Revolutionary War. After being forced to abandon Boston, they captured New York City, but were unable to hold New Jersey when General George Washington surprised them at Trenton and Princeton. The British consolidated their hold on New York City and Long Island during the winter months of early 1777, while the Continental Army established a land blockade around the city in New Jersey, southern New York, and southwestern Connecticut. In the spring of 1777 Lieutenant General William Howe launched raiding expeditions against Continental Army and local militia storage depots near the city. A successful raid against Peekskill, New York in March prompted him to organize a more ambitious expedition to raid a depot in Danbury, Connecticut. This expedition, led by 
Title: History of the United States (1776–1789)
Content:  The British returned in force in August 1776, landing in New York and defeating the fledgling Continental Army at the Battle of Long Island in one of the largest engagements of the war. They quickly seized New York City and nearly captured General Washington and his army. The British made the city their main political and military base of operations in North America, holding it until late 1783. Patriot evacuation and British military occupation made the city the destination for Loyalist refugees and a focal point of Washington's intelligence network. The British soon seized New Jersey, and American fortunes looked dim; Thomas Paine proclaimed "these are the times that try men's souls". 
Title: History of the United States (1776–1789)
Content:  With the British in control of most northern coastal cities and Patriot forces in control of the hinterlands, the British attempted to force a result by a campaign to seize the southern states. With limited regular troops at their disposal, the British commanders realized that success depended on a large-scale mobilization of Loyalists. In late December 1778, the British had captured Savannah. In 1780 they launched a fresh invasion and took Charleston as well. A significant victory at the Battle of Camden meant that the invaders soon controlled most of Georgia and South Carolina. The British set up a network of forts inland, hoping the Loyalists would rally to the flag. Not enough Loyalists turned out, however, and the British had to move out. They fought their way north into North Carolina and Virginia, with a severely weakened army. 
Title: History of the Hudson Valley
Content:  and Mid-Atlantic regions. The British knew that total occupation of the colonies would be infeasible, which is why this strategy was chosen. As a result of the strategy, numerous battles were fought along the river, including several in the Hudson Valley. George Washington's Continental Army had retreated north to White Plains, New York in 1776, as the British pursued him and his army. While the British advanced towards him, Washington decided to take a stand in White Plains. In October 1776, Howe's army advanced from New Rochelle, and Scarsdale. Washington set up defensive positions in the hills around the village. When the British attacked, the British managed to break the 
Title: Battle of Sullivan's Island
Content:  The Battle of Sullivan's Island or the battle of Fort Sullivan was fought on June 28, 1776, during the American Revolutionary War. It took place near Charleston, South Carolina, during the first British attempt to capture the city from American forces. It is also sometimes referred to as the first siege of Charleston, owing to a more successful British siege in 1780. The British organized an expedition in early 1776 for operations in the rebellious southern colonies of North America. Delayed by logistical concerns and bad weather, the expedition reached the coast of North Carolina in May 1776. Finding conditions unsuitable for their operations, General Henry Clinton and Admiral Sir Peter Parker decided instead to act against Charlestown. Arriving there in early June, troops were landed on 
Title: American Revolutionary War
Content:   The 1776 campaign demonstrated regaining New England would be a prolonged affair, which led to a change in British strategy. This involved isolating the north from the rest of the country by taking control of the Hudson River, allowing them to focus on the south where Loyalist support was believed to be substantial. In December 1776, Howe wrote to the Colonial Secretary Lord Germain, proposing a limited offensive against Philadelphia, while a second force moved down the Hudson from Canada. Germain received this on February 23, 1777, followed a few days later by a memorandum from Burgoyne, then in London on leave. Burgoyne supplied several 
Title: United Kingdom–United States relations
Content:  British Army returned in force in August 1776, and captured New York City, which became their base until the war ended in 1783. The British, using their powerful navy, could capture major ports, but 90% of the Americans lived in rural areas where they had full control. After the capture of a British invasion force moving down from Canada in the Saratoga campaign of 1777, France entered the war as an ally of the US, and added the Netherlands and Spain as French allies. Britain suffered casualties which it could not replace and had no major allies and few friends in Europe. 
Title: Battle of Stono Ferry
Content:  The opening move in Britain's "southern strategy" to regain control of its rebellious colonies was Admiral Peter Parker and General Henry Clinton's ignominious defeat in June 1776 to a vastly smaller militia force at a partially-constructed palmetto palisade on Sullivan's Island off Charlestown (now Charleston), South Carolina, the Royal Navy's first repulse in a century. In December 1778, however, Savannah was captured and Charleston again exposed to danger. At the time, it was the site of the Continental Army's southern command under General Benjamin Lincoln. The British garrison at Savannah was about the same size as his own. Throughout the early 
Title: History of the United States (1776–1789)
Content:  During the winter of 1775–76, an attempt by the Patriots to capture Quebec failed, and the buildup of British forces at Halifax, Nova Scotia, precluded that colony from joining the 13 colonies. The Americans were able to capture a British fort at Ticonderoga, New York, and to drag its cannon over the snow to the outskirts of Boston. The appearance of troops and a cannon on Dorchester Heights outside Boston led the British Army to evacuate the city on March 17, 1776.
Title: British Army during the American Revolutionary War
Content:  In August 1778 a combined Franco-American attempt to drive British forces from Rhode Island failed. One year later an American expedition to drive British forces from Penobscot Bay also failed. In the same year Americans launched a successful expedition to drive Native Americans from the frontier of New York, and captured a British outpost in a nighttime raid. During this period the British army carried out a series of successful raiding operations, taking supplies, destroying military defenses, outposts, stores, munitions, barracks, shops and houses.

Question: where did the british army launch a successful invasion in 1776?
Answer: New York.
Long Island.