7y+6=(y-2)

Solution for 7y+6=(y-2) equation:

Simplifying
7y + 6 = (y + -2)

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

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

Remove parenthesis around (-2 + y)
6 + 7y = -2 + y

Solving
6 + 7y = -2 + 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 + 7y + -1y = -2 + y + -1y

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

Combine like terms: y + -1y = 0
6 + 6y = -2 + 0
6 + 6y = -2

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

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

Combine like terms: -2 + -6 = -8
6y = -8

Divide each side by '6'.
y = -1.333333333

Simplifying
y = -1.333333333