 # 72+y=5(4+y)

## 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

-4y + 72 = 20

## Group constants

Group our constants 72 and 20.
subtract 72 from both sides
-4y + 72 - 72 = 20 - 72

-4y = -52

## Divide each side of the equation by -4

 -4y -4
 =
 -52 -4

y = 13

y = 13

### How does the Equation and Inequalities Calculator work?

Free Equation and Inequalities Calculator - Solves an equation or inequality with 1 unknown variable and no exponents as well as certain absolute value equations and inequalities such as |x|=c and |ax| = c where a and c are constants. Solves square root, cube root, and other root equations in the form ax^2=c, ax^2 + b = c. Also solves radical equations in the form asqrt(bx) = c. Also solves open sentences and it will solve one step problems and two step equations. 2 step equations and one step equations and multi step equations
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### What 3 formulas are used for the Equation and Inequalities Calculator?

1. One Step Equations (Division): cx = b x = b/c
2. One Step Equations (Addition): x + c = b x = b - c
3. One Step Equations (Subtraction): x - c = b x = b + c

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### What 4 concepts are covered in the Equation and Inequalities Calculator?

equation
a statement declaring two mathematical expressions are equal
equation and inequalities
unknown
a number or value we do not know
variable
Alphabetic character representing a number