4(y+13)+2y=10 4y+ 52+2y=10 6y=-42 (Result of adding 4y and 2y, and subtracting 52 on both sides) y=-7 (Result of dividing both sides by 6, finding what y equals!)
That's the first step. Right now our answer looks like this: (x, -7). We need to find what x is equal to. If we know what y is equal to we can just plug that in wherever y is. From here you can choose either of the equations. We'll go with the easier one, 4x+2y=10.
4x+2y=10 4x+2(-7)=10 (As a result of plugging in -7 for y) 4x+(-14)=10 (The equation above simplified) 4x=24 (Result of adding 14 to each side) x=6 (Result of dividing each side by 4, finding our final answer!)
Now that we know what x and y are equal to, you now have the answer.