I'm stuck with what seems to be an extremely simple issue, still, I just can't seem to find the solution or even the cause of the problem.

So my issue is that I have the following surfaces:

    f[x_,y_]:=-1 + 1/(1.8 (0.02 + x) + 1.2 (0.02 + y));
    g[x_,y_]:=-1 + 1/(0.15 + x + 1.2 (0.15 + y));

which intersect for sure, I checked via Plot3D, but

    Solve[f[x,y]==g[x,y],y] 

returns {}. This baffles me, what is happening?

Tried with exact coefficients, tried restarting the kernel, no change.