y2-60=4(4y)

Solution for y2-60=4(4y) equation:

y2-60=4(4y)

We move all terms to the left:

y2-60-(4(4y))=0

determiningTheFunctionDomain
y2-44y-60=0

We add all the numbers together, and all the variables

y^2-44y-60=0

a = 1; b = -44; c = -60;
Δ = b2-4ac
Δ = -442-4·1·(-60)
Δ = 2176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2176}=\sqrt{64*34}=\sqrt{64}*\sqrt{34}=8\sqrt{34}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-8\sqrt{34}}{2*1}=\frac{44-8\sqrt{34}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+8\sqrt{34}}{2*1}=\frac{44+8\sqrt{34}}{2}
$