What social values were expressed in the Declaration of Independence?

The social values expressed in the Declaration of Independence include freedom, equality, justice, and democracy (or popular sovereignty).
The single greatest support for equality lies in the phrase "all men are created equal . . . endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness." This phrase proclaims the right of all Americans to enjoy freedom from tyranny or oppression.
The Declaration of Independence also proclaims the right of Americans to abolish any form of government that fails to fulfill the objectives of justice, freedom, and equality. In support of the values of liberty and democracy (government of the people, by the people, for the people) the Declaration of Independence lists the abuses of the English monarch and the right of the colonies to secede from the motherland.
Among other things, George III, the English monarch, was accused of,
failing to provide for legislative representation for British citizens in the American colonies. Essentially, King George subjected British citizens to burdensome taxes and regulations without providing them representation in Parliament.
sending officers to force British citizens in the colonies to abide by his arbitrary laws.
making all judges subject to his whim and authority, which meant that British citizens in the colonies had no assurance of judicial impartiality in the courts.
quartering British armies in the colonies without the consent of the legislatures in America and then declaring those legislatures void of power to decide such matters.
cutting off the right of the colonies to trade with other countries.
imposing taxes on the colonies without their consent.
The declaration states that, since the king has neglected to protect its colonial citizens, the colonies must declare their independence from England.
https://www.archives.gov/founding-docs/declaration-transcript