Why: Using the elimination method, you can eliminate 4y and -4y since they are opposites. Then its an addition problem; 3x plus 2x is 5x. -2 plus -8 is -10. From there it's "junk and divide"
Finding Y:
2(-2) - 4y = -8
-4 -4y = -8
+4 +4
-4y = -4
-4y/-4 = -4/-4
y = 1
Why: Because you found that x = -2, you can then plug it in one of the equations. From there its simple "junk and divide". Hope this helps this took a long time to type lol.