Enter Equation or Inequality

Solve the following equation

100-10y=14y+4

Solve for y

100 - 10y = 14y + 4

Group variables

Group our variables -10y and 14y
subtract 14y from both sides

-10y + 100 - 14y = 14y + 4 - 14y

Cancel 14y on the right side:

-24y + 100 = 4

Divide each side by 100

100y
100
=
  
-10
100

Group constants

Group our constants 100 and 4.
subtract 100 from both sides

-24y + 100 - 100 = 4 - 100

Cancel 100 on the left side:

-24y = -96

Divide each side of the equation by -24

-24y
-24
=
  
-96
-24

y = 4

Final Answer


y = 4


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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 = 4
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.
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
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
Equation and Inequalities Calculator Video

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