6(y+7)=3y

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

Simplifying
6(y + 7) = 3y

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

Solving
42 + 6y = 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
42 + 6y + -3y = 3y + -3y

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

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

Add '-42' to each side of the equation.
42 + -42 + 3y = 0 + -42

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

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

Divide each side by '3'.
y = -14

Simplifying
y = -14