SOLUTION: I can't figure this out -8(2y-4)=9(4-2y)

Question 51030: I can't figure this out
-8(2y-4)=9(4-2y)
Answer by junior403(76) (Show Source): You can put this solution on YOUR website!
-8(2y-4)=9(4-2y)
This isnt so bad if we just remember the order of operations.
First let's use the distributive property on both sides of the equation...
Lets start with the left side:
-8(2y-4)
this means...
-8(2y)and -8(-4)= -16y + 32
then the right side:
9(4-2y)
this means
9(4) and 9(-2y)= 36 - 18y
so now our equation looks like...
-16y + 32 = 36 - 18y
now we need to arrange this equation so that the y variables are on the same side of the equation...
so if we add 18 y to both sides...
-16y + 18y + 32 = 36 - 18y + 18 y
which becomes...
2y + 32 = 36
now we can subtract 32 from both sides to isolate the y variable...
2y + 32 - 32 = 36 - 32
this becomes
2y = 4
Now in order to completely isolate the y variable we can divide both sides by 2

This becomes...
y = 2
this is the answer.
I hope this helps.
Good Luck!

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