-3y+8-(-15+6y-)(-3y+2)-(5y+4)-29)=-5

Solution for -3y+8-(-15+6y-)(-3y+2)-(5y+4)-29)=-5 equation:

-3y+8-(-15+6y-)(-3y+2)-(5y+4)-29)=-5

We move all terms to the left:

-3y+8-(-15+6y-)(-3y+2)-(5y+4)-29)-(-5)=0

We add all the numbers together, and all the variables

-3y-(+6y)(-3y+2)-(5y+4)+8-29)-(-5)=0

We add all the numbers together, and all the variables

-3y-(+6y)(-3y+2)-(5y+4)=0

We get rid of parentheses

-3y-(+6y)(-3y+2)-5y-4=0

We multiply parentheses ..

-(-18y^2+12y)-3y-5y-4=0

We add all the numbers together, and all the variables

-(-18y^2+12y)-8y-4=0

We get rid of parentheses

18y^2-12y-8y-4=0

We add all the numbers together, and all the variables

18y^2-20y-4=0

a = 18; b = -20; c = -4;
Δ = b2-4ac
Δ = -202-4·18·(-4)
Δ = 688
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:

$\sqrt{\Delta}=\sqrt{688}=\sqrt{16*43}=\sqrt{16}*\sqrt{43}=4\sqrt{43}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-4\sqrt{43}}{2*18}=\frac{20-4\sqrt{43}}{36}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+4\sqrt{43}}{2*18}=\frac{20+4\sqrt{43}}{36}
$