Given the system

First step, the first equation is multiplied by -3

Step 2, add both equations, you have to add the like terms

Step 3 divide both sides by -5 to determine the value of y

Step 4 determine the value of x, by replacinf y=6/5 in the first equation

Solution (7/5, 6/5)
The error is in step 3, (-3y)+(-2y)=-5y NOT -y