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

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


You have 2 free calculationss remaining



What is the Answer?
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?

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

For more math formulas, check out our Formula Dossier

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
Example calculations for the Equation and Inequalities Calculator
  1. 2x=6
  2. 9w - 12<=20
  3. -y + 2 + 10y - 9 -6 >= -3 + 4y + 40 - 8y
  4. 2x - 9(x - 4) = 10
  5. |x|=-2
  6. |-4y|=-8
  7. x^2=25
  8. 2y^2=50
  9. 2y^2-3=53
  10. 2sqrt(4x)=20
  11. |2x+4|=30
  12. |x/2|<10
  13. |2x+6|-7=40
  14. (4x+10)^2=400

Equation and Inequalities Calculator Video


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