SOLUTION: 4y-4/8 +26/2 =1/4

Algebra ->  Expressions-with-variables -> SOLUTION: 4y-4/8 +26/2 =1/4      Log On


   

Question 258108: 4y-4/8 +26/2 =1/4
Found 3 solutions by checkley77, drk, MRperkins:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
4y-4/8 +26/2 =1/4
4y=1/4+4/8-26/2
4y=.25+.5-13
4y=-12.25
y=-12.25/4 ans.
4*-12.25/4-4/8+26/2=1/4
-49/4-1/2+13=1/4
-49/4-2/4+52/4=1/4
(-49-2+52)/4=1/4
(-51+52)/4=1/4
1/4=1/4

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Here is the original equation
(i) 4y-4%2F8+%2B26%2F2+=1%2F4
step 1 - multiply by 8 [common denominator] to get
(ii) 32y+-+4+%2B+104+=+2
step 2 - combine like terms to get
(iii) 32y+%2B+100+=+2
subtract 100 to get
(iv) 32y+=+-98
divide by 32 to get
(v) y+=+-98%2F32
which can be reduced to y = -49/16

Answer by MRperkins(300) About Me  (Show Source):
You can put this solution on YOUR website!
4y-4/8 +26/2 =1/4 Given
4y-1/2+26/2=1/4 reduce -4/8 to -1/2
4y+25/2=1/4 combine -1/2 and 26/2
4y=-25/2+1/4 subtract 25/2 from both sides
4y=-50/4+1/4 get a common denominator
4y=-49/4 add
y=%28-49%2F4%29%2F4 divide both sides by 4 to get y by itself
y=%28-49%2F4%29%281%2F4%29 flip and multiply
y=-49%2F16