Enter Equation or Inequality
  

Solve the following equation

-y+2+10y-9-6>=-3+4y+40-8y

Solve for y

-y + 2 + 10y - 9 - 6 ≥ - 3 + 4y + 40 - 8y

Group the y terms on the left:

(-1 + 10)y = 9y

Group the constants on the left

2 - 9 - 6 = -13

Group the y terms on the right:

(4 - 8)y = -4y

Group the constants on the right:

-3 + 40 = 37

Form modified inequality

9y - 13 ≥ - 4y + 37

Group variables

Group our variables 9y and -4y
add 4y to both sides

9y - 13 + 4y ≥ -4y + 37 + 4y

Cancel -4y on the right side:

13y - 13 ≥ 37

Group constants

Group our constants -13 and 37.
add 13 to both sides

13y - 13 + 13 ≥ 37 + 13

Cancel 13 on the left side:

13y ≥ 50

Divide each side of the inequality by 13

13y
13
≥
  
50
13

y ≥ 3.8461538461538

Final Answer

y ≥ 3.8461538461538




What is the Answer?
y ≥ 3.8461538461538
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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