2(y+3)=2-(y+1)

Solution for 2(y+3)=2-(y+1) equation:

Simplifying
2(y + 3) = 2 + -1(y + 1)

Reorder the terms:
2(3 + y) = 2 + -1(y + 1)
(3 * 2 + y * 2) = 2 + -1(y + 1)
(6 + 2y) = 2 + -1(y + 1)

Reorder the terms:
6 + 2y = 2 + -1(1 + y)
6 + 2y = 2 + (1 * -1 + y * -1)
6 + 2y = 2 + (-1 + -1y)

Combine like terms: 2 + -1 = 1
6 + 2y = 1 + -1y

Solving
6 + 2y = 1 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
6 + 2y + y = 1 + -1y + y

Combine like terms: 2y + y = 3y
6 + 3y = 1 + -1y + y

Combine like terms: -1y + y = 0
6 + 3y = 1 + 0
6 + 3y = 1

Add '-6' to each side of the equation.
6 + -6 + 3y = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = 1 + -6
3y = 1 + -6

Combine like terms: 1 + -6 = -5
3y = -5

Divide each side by '3'.
y = -1.666666667

Simplifying
y = -1.666666667