Solve for y: 5x+7y=23

You cannot solve one equation with two variables in it.

There would be an infinite number of solutions
e.g. (6,-1) , (13,-6) , (-1,4) ....

(add 7 to the x and subtract 5 from the y
or add 5 to the y and subtract 7 from the x to get as many ordered pairs as you want.)