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7 - 1/3y = 12

whats the value of y?

 Sep 8, 2016
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Solve for y:
7-(y)/(3) = 12

Put each term in 7-(y)/(3) over the common denominator 3: 7-(y)/(3) = 21/3-(y)/3:
21/3-y/3 = 12

21/3-y/3 = (21-y)/3:
(21-y)/3 = 12

Multiply both sides of (21-y)/3 = 12 by 3:
(3 (21-y))/3 = 3×12

(3 (21-y))/3 = 3/3×(21-y) = 21-y:
21-y = 3×12

3×12 = 36:
21-y = 36

Subtract 21 from both sides:
(21-21)-y = 36-21

21-21 = 0:
-y = 36-21

36-21 = 15:
-y = 15

Multiply both sides of -y = 15 by -1:
-y/(-1) = -15

(-1)/(-1) = 1:
Answer: |y = -15

 Sep 8, 2016

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