-6y-3(6y-6)=-2+1(-7-y)y=

Solution for -6y-3(6y-6)=-2+1(-7-y)y= equation:

-6y-3(6y-6)=-2+1(-7-y)y=

We move all terms to the left:

-6y-3(6y-6)-(-2+1(-7-y)y)=0

We add all the numbers together, and all the variables

-6y-3(6y-6)-(-2+1(-1y-7)y)=0

We multiply parentheses

-6y-18y-(-2+1(-1y-7)y)+18=0


We calculate terms in parentheses: -(-2+1(-1y-7)y), so:

-2+1(-1y-7)y

determiningTheFunctionDomain
1(-1y-7)y-2

We multiply parentheses

-1y^2-7y-2

Back to the equation:

-(-1y^2-7y-2)


We add all the numbers together, and all the variables

-(-1y^2-7y-2)-24y+18=0

We get rid of parentheses

1y^2+7y-24y+2+18=0

We add all the numbers together, and all the variables

y^2-17y+20=0

a = 1; b = -17; c = +20;
Δ = b2-4ac
Δ = -172-4·1·20
Δ = 209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-\sqrt{209}}{2*1}=\frac{17-\sqrt{209}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{209}}{2*1}=\frac{17+\sqrt{209}}{2}
$