(y-6)=7y

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

Simplifying
(y + -6) = 7y

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

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

Solving
-6 + y = 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.
-6 + y + -7y = 7y + -7y

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

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

Add '6' to each side of the equation.
-6 + 6 + -6y = 0 + 6

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

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

Divide each side by '-6'.
y = -1

Simplifying
y = -1