(6*y)^2-79=73

Solution for (6*y)^2-79=73 equation:

(6y)^2-79=73

We move all terms to the left:

(6y)^2-79-(73)=0

We add all the numbers together, and all the variables

6y^2-152=0

a = 6; b = 0; c = -152;
Δ = b2-4ac
Δ = 02-4·6·(-152)
Δ = 3648
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:

$\sqrt{\Delta}=\sqrt{3648}=\sqrt{64*57}=\sqrt{64}*\sqrt{57}=8\sqrt{57}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{57}}{2*6}=\frac{0-8\sqrt{57}}{12}
=-\frac{8\sqrt{57}}{12}
=-\frac{2\sqrt{57}}{3}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{57}}{2*6}=\frac{0+8\sqrt{57}}{12}
=\frac{8\sqrt{57}}{12}
=\frac{2\sqrt{57}}{3}
$