+2448 Let's start off by Subtracting -8+y from each side which would now make this: √y^2 - 8 + y=4 into this: √y^2=-y+12
(I'm horrible at explaining things, sorry!)
Now we square both sides, (√y^2)^2=(-y+12)^2
First let's do (√y^2)^2
√y=y^1/2 so let's replace the square root with 1/2 now we have (y^2 and 1/2)^2
Let's apply the exponent rule: (a^b)^c=a^bc which makes us have y^2 and 1/2*2 which makes it A LOT easier to solve this problem. 1/2*2=1
1*2/2=2/2=1, we end up with y^2
Now we have to solve (-y+12)^2
Apply the distributing rule: (a+b)^2=a^2+2ab+b^2 (a=-y and b=12)
We now have (-y)^2 +2(-y)*12+12^2 (SIMPLIFY)
Remove the parenthesis. y^2 -2y*12+12^2
(-a)^n=a^n (only if n is even)
(-y^2)=y^2
y^2-2*12y+12^2
Refine: y^2-24y+144
Now we have y^2=y^2-24y+144, so we have to solve that now.
Subtract y^2 from both sides and we get: 0=-24y+144
Let's subtract 144 from both sides which= -24y=-144
Divide both sides by -24: -24y/-24=y and -144/-24=6
So, y=6
I just made it really confusing xD but yeah that's it.
