2(y+3)=-2(y+3)

Solution for 2(y+3)=-2(y+3) equation:

Simplifying
2(y + 3) = -2(y + 3)

Reorder the terms:
2(3 + y) = -2(y + 3)
(3 * 2 + y * 2) = -2(y + 3)
(6 + 2y) = -2(y + 3)

Reorder the terms:
6 + 2y = -2(3 + y)
6 + 2y = (3 * -2 + y * -2)
6 + 2y = (-6 + -2y)

Solving
6 + 2y = -6 + -2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '2y' to each side of the equation.
6 + 2y + 2y = -6 + -2y + 2y

Combine like terms: 2y + 2y = 4y
6 + 4y = -6 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + 4y = -6 + 0
6 + 4y = -6

Add '-6' to each side of the equation.
6 + -6 + 4y = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 4y = -6 + -6
4y = -6 + -6

Combine like terms: -6 + -6 = -12
4y = -12

Divide each side by '4'.
y = -3

Simplifying
y = -3