y=10-(1000-100y)/100

Solution for y=10-(1000-100y)/100 equation:

y=10-(1000-100y)/100

We move all terms to the left:

y-(10-(1000-100y)/100)=0

We add all the numbers together, and all the variables

y-(10-(-100y+1000)/100)=0

We multiply all the terms by the denominator


y*100)-(10-(-100y+1000)=0

Wy multiply elements

100y^2-(-100y+1000)=0

We get rid of parentheses

100y^2+100y-1000=0

a = 100; b = 100; c = -1000;
Δ = b2-4ac
Δ = 1002-4·100·(-1000)
Δ = 410000
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:

$\sqrt{\Delta}=\sqrt{410000}=\sqrt{10000*41}=\sqrt{10000}*\sqrt{41}=100\sqrt{41}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-100\sqrt{41}}{2*100}=\frac{-100-100\sqrt{41}}{200}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+100\sqrt{41}}{2*100}=\frac{-100+100\sqrt{41}}{200}
$