18y=y2

Solution for 18y=y2 equation:

18y=y2

We move all terms to the left:

18y-(y2)=0

We add all the numbers together, and all the variables

-1y^2+18y=0

a = -1; b = 18; c = 0;
Δ = b2-4ac
Δ = 182-4·(-1)·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-18}{2*-1}=\frac{-36}{-2}
=+18
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+18}{2*-1}=\frac{0}{-2}
=0
$