7(2y+6)=4y+72

Solution for 7(2y+6)=4y+72 equation:

Simplifying
7(2y + 6) = 4y + 72

Reorder the terms:
7(6 + 2y) = 4y + 72
(6 * 7 + 2y * 7) = 4y + 72
(42 + 14y) = 4y + 72

Reorder the terms:
42 + 14y = 72 + 4y

Solving
42 + 14y = 72 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
42 + 14y + -4y = 72 + 4y + -4y

Combine like terms: 14y + -4y = 10y
42 + 10y = 72 + 4y + -4y

Combine like terms: 4y + -4y = 0
42 + 10y = 72 + 0
42 + 10y = 72

Add '-42' to each side of the equation.
42 + -42 + 10y = 72 + -42

Combine like terms: 42 + -42 = 0
0 + 10y = 72 + -42
10y = 72 + -42

Combine like terms: 72 + -42 = 30
10y = 30

Divide each side by '10'.
y = 3

Simplifying
y = 3