7(y+6)=6y

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

Simplifying
7(y + 6) = 6y

Reorder the terms:
7(6 + y) = 6y
(6 * 7 + y * 7) = 6y
(42 + 7y) = 6y

Solving
42 + 7y = 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
42 + 7y + -6y = 6y + -6y

Combine like terms: 7y + -6y = 1y
42 + 1y = 6y + -6y

Combine like terms: 6y + -6y = 0
42 + 1y = 0

Add '-42' to each side of the equation.
42 + -42 + 1y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 1y = 0 + -42
1y = 0 + -42

Combine like terms: 0 + -42 = -42
1y = -42

Divide each side by '1'.
y = -42

Simplifying
y = -42