Solve the following equation
72+y=5(4+y)
Solve for y
72 + y = 5(4 + y)
Simplify by removing parenthesesSimplify 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
Common Core State Standards In This Lesson
6.EE.B.5, 6.EE.B.7, 8.EE.A.2, 8.EE.C.7.B, HSA.CED.A.1, HSA.REI.A.1, HSA.REI.A.2, HSA.REI.B.3, HSA.REI.B.4.B
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
This calculator has 1 input.
This calculator has 1 input.
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
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c
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
