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sady + 13 / 49 = -40

 Apr 19, 2016
 #1
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Solve for y:
y+13/49 = -40

 

Put each term in y+13/49 over the common denominator 49: y+13/49  =  (49 y)/49+13/49:
(49 y)/49+13/49 = -40

 

(49 y)/49+13/49 = (49 y+13)/49:
(49 y+13)/49 = -40

 

Multiply both sides of (49 y+13)/49 = -40 by 49:
(49 (49 y+13))/49 = -40×49

 

(49 (49 y+13))/49 = 49/49×(49 y+13) = 49 y+13:
49 y+13 = -40×49

 

49 (-40)  =  -1960:
49 y+13 = -1960

 

Subtract 13 from both sides:
49 y+(13-13) = -1960-13

 

13-13 = 0:
49 y = -1960-13

 

-1960-13 = -1973:
49 y = -1973

 

Divide both sides of 49 y = -1973 by 49:
(49 y)/49 = (-1973)/49

 

49/49 = 1:
Answer: |  y = (-1973)/49

 Apr 19, 2016

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