5y+2=6y-6+y

Solution for 5y+2=6y-6+y equation:

Simplifying
5y + 2 = 6y + -6 + y

Reorder the terms:
2 + 5y = 6y + -6 + y

Reorder the terms:
2 + 5y = -6 + 6y + y

Combine like terms: 6y + y = 7y
2 + 5y = -6 + 7y

Solving
2 + 5y = -6 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
2 + 5y + -7y = -6 + 7y + -7y

Combine like terms: 5y + -7y = -2y
2 + -2y = -6 + 7y + -7y

Combine like terms: 7y + -7y = 0
2 + -2y = -6 + 0
2 + -2y = -6

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

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

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

Divide each side by '-2'.
y = 4

Simplifying
y = 4