3(y+8)2y-6y=30

Solution for 3(y+8)2y-6y=30 equation:

3(y+8)2y-6y=30

We move all terms to the left:

3(y+8)2y-6y-(30)=0

We add all the numbers together, and all the variables

-6y+3(y+8)2y-30=0

We multiply parentheses

6y^2-6y+48y-30=0

We add all the numbers together, and all the variables

6y^2+42y-30=0

a = 6; b = 42; c = -30;
Δ = b2-4ac
Δ = 422-4·6·(-30)
Δ = 2484
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:

$\sqrt{\Delta}=\sqrt{2484}=\sqrt{36*69}=\sqrt{36}*\sqrt{69}=6\sqrt{69}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-6\sqrt{69}}{2*6}=\frac{-42-6\sqrt{69}}{12}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+6\sqrt{69}}{2*6}=\frac{-42+6\sqrt{69}}{12}
$