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

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

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

Reorder the terms:
7y + 2(3 + y) = (y + 1) + -2
7y + (3 * 2 + y * 2) = (y + 1) + -2
7y + (6 + 2y) = (y + 1) + -2

Reorder the terms:
6 + 7y + 2y = (y + 1) + -2

Combine like terms: 7y + 2y = 9y
6 + 9y = (y + 1) + -2

Reorder the terms:
6 + 9y = (1 + y) + -2

Remove parenthesis around (1 + y)
6 + 9y = 1 + y + -2

Reorder the terms:
6 + 9y = 1 + -2 + y

Combine like terms: 1 + -2 = -1
6 + 9y = -1 + y

Solving
6 + 9y = -1 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
6 + 9y + -1y = -1 + y + -1y

Combine like terms: 9y + -1y = 8y
6 + 8y = -1 + y + -1y

Combine like terms: y + -1y = 0
6 + 8y = -1 + 0
6 + 8y = -1

Add '-6' to each side of the equation.
6 + -6 + 8y = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 8y = -1 + -6
8y = -1 + -6

Combine like terms: -1 + -6 = -7
8y = -7

Divide each side by '8'.
y = -0.875

Simplifying
y = -0.875