Enter Equation or Inequality

Solve the following equation

72+y=5(4+y)

Solve for y

72 + y = 5(4 + y)

Simplify by removing parentheses
Simplify 5(4 + y):
Distribute the 5 to each term in (4+y)
5 * 4 = (5 * 4) = 20
5 * y = (5 * 1)y = 5y
Our Total expanded term is 20 + 5y

Our new term is
72 + y = 20 + 5y

Simplify by removing parentheses
Our new term is
72 + y = 20 + 5y

Group variables

Group our variables y and 5y
subtract 5y from both sides

y + 72 - 5y = 5y + 20 - 5y

Cancel 5y on the right side:

-4y + 72 = 20

Divide each side by 72

72y
72
=
  
20
72

Group constants

Group our constants 72 and 20.
subtract 72 from both sides

-4y + 72 - 72 = 20 - 72

Cancel 72 on the left side:

-4y = -52

Divide each side of the equation by -4

-4y
-4
=
  
-52
-4

y = 13

Final Answer


y = 13