Solution - Linear equations with one unknown

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                7/5*(10*y+25)-(-3*y+15-y)=0 

Step by step solution :

Step  1  :

            7
 Simplify   —
            5

Equation at the end of step  1  :

   7                  
  (— • (10y + 25)) -  (15 - 4y)  = 0 
   5                  

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   10y + 25  =   5 • (2y + 5) 

Equation at the end of step  3  :

  7 • (2y + 5) -  (15 - 4y)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   18y + 20  =   2 • (9y + 10) 

Equation at the end of step  5  :

  2 • (9y + 10)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    2   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

 6.2      Solve  :    9y+10 = 0 

 Subtract  10  from both sides of the equation : 
                      9y = -10
Divide both sides of the equation by 9:
                     y = -10/9 = -1.111

One solution was found :