7-1=2(y+3)-2

Solution for 7-1=2(y+3)-2 equation:

Simplifying
7 + -1 = 2(y + 3) + -2

Combine like terms: 7 + -1 = 6
6 = 2(y + 3) + -2

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

Reorder the terms:
6 = 6 + -2 + 2y

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

Solving
6 = 4 + 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 = 4 + 2y + -2y

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

Add '-6' to each side of the equation.
6 + -6 + -2y = 4 + -6

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

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

Divide each side by '-2'.
y = 1

Simplifying
y = 1