44=46y-2y^2

Solution for 44=46y-2y^2 equation:

44=46y-2y^2

We move all terms to the left:

44-(46y-2y^2)=0

We get rid of parentheses

2y^2-46y+44=0

a = 2; b = -46; c = +44;
Δ = b2-4ac
Δ = -462-4·2·44
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-46)-42}{2*2}=\frac{4}{4}
=1
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-46)+42}{2*2}=\frac{88}{4}
=22
$