7(y+6)=3+6y

Solution for 7(y+6)=3+6y equation:

Simplifying
7(y + 6) = 3 + 6y

Reorder the terms:
7(6 + y) = 3 + 6y
(6 * 7 + y * 7) = 3 + 6y
(42 + 7y) = 3 + 6y

Solving
42 + 7y = 3 + 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 = 3 + 6y + -6y

Combine like terms: 7y + -6y = 1y
42 + 1y = 3 + 6y + -6y

Combine like terms: 6y + -6y = 0
42 + 1y = 3 + 0
42 + 1y = 3

Add '-42' to each side of the equation.
42 + -42 + 1y = 3 + -42

Combine like terms: 42 + -42 = 0
0 + 1y = 3 + -42
1y = 3 + -42

Combine like terms: 3 + -42 = -39
1y = -39

Divide each side by '1'.
y = -39

Simplifying
y = -39