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 :

                4*(y-3)+19-(8*(2*y+3)+7)=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  ((4•(y-3))+19)-(8•(2y+3)+7)  = 0 

Step  2  :

Equation at the end of step  2  :

  (4 • (y - 3) +  19) -  (16y + 31)  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   -12y - 24  =   -12 • (y + 2) 

Equation at the end of step  4  :

  -12 • (y + 2)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    -12   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    y+2 = 0 

 Subtract  2  from both sides of the equation : 
                      y = -2

One solution was found :