Get y by itself

5x+y=10

In order to get y by itself, simply move the 5x over to the other side of the equation. In the end it would be

y = - 5x + 10

We can add in any order. So 5x+y is the same as y+5x

5x+y = 10

y+5x = 10

y+5x-5x = 10-5x ... subtract 5x from both sides

y+0x = - 5x+10

y+0 = - 5x+10

y = - 5x+10

Answer: y = - 5x+10

Note: this is in y=mx+b form where m = - 5 is the slope and b = 10 is the y intercept