SOLUTION: okay so i am having problems with my online math homework i just want this double checked. 6-5(8-(2y-4))original equation 6-5(8-2y-4) 6-5(4-2y) 6-20+10y 10y-14 answer i got

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Question 558919: okay so i am having problems with my online math homework i just want this double checked.
6-5(8-(2y-4))original equation
6-5(8-2y-4)
6-5(4-2y)
6-20+10y
10y-14 answer i got
Found 2 solutions by Alan3354, Theo:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
6-5(8-(2y-4))original equation **** equations have equal signs.
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6-5(8-2y-4) *** should be 6 -5(8-2y+4) not -4
= 6 - 5(12-2y)
= 6 - 60 + 10y
= 10y - 54
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6-5(4-2y)
6-20+10y
10y-14 answer i got

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
6-5(8-(2y-4))original equation
so far so good.
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6-5(8-2y-4)
you messed up here.
6-5(8-(2y-4)) becomes:
6-5(8-2y+4) which leads to:
6-5(12-2y)
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6-5(4-2y)
replace the 4 with 12 and this should be ok.
expression becomes:
6-5(12-2y)
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6-20+10y
after your replacement above, this would become:
6-60+10y
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10y-14 answer i got
your answer should have been:
10y-54
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you can test your answer by assuming any value for y.
assume y = 5.
your original equation of:
6-5(8-(2y-4)) becomes:
6-5(8-(10-4)) which becomes:
6-5(8-6) which becomes:
6-5(2) which becomes:
6-10 which becomes:
-4
your final equation of:
10y-54 becomes:
50-54 which becomes:
-4
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you messed up on the signs when you converted:
6-5(8-(2y-4)) to:
6-5(8-2y-4)
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8 - (2y-4) is 8 - 2y - (-4) which becomes 8 - 2y + 4 which becomes 12 - 2y.
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- (2y-4) is really:
- 1*(2y-4) which becomes:
-1 * 26 - 1 * (-4)
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you did it right later on, however, when you converted:
6-5(4-2y) to:
6-20+10y