Question

Solve 2/3 - 6y = - 1 5/6

Answer 1

y = 19/36

Explanation:

Assuming that what you want is the value of y, you can pass all the right side stuff to the left, and the y to the right:

2/3 + 15/6 = 6y

Then you can sum the fractions on the left by using the same denominators:

4/6 + 15/6 = 6y ==> 19/6 = 6 * y

then you can pass the 6 that is multiplying on the right to the left - now dividing:

y = 19/36

Answer 2

y = 5/12

Explanation:

2/3 - 6y = -1 5/6 . . . . . given

4 -36y = -11 . . . . . . . . . multiply by 6

15 = 36y . . . . . . . . . . add 36y+11

15/36 = y = 5/12 . . . . divide by 36, reduce the fraction

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Check

2/3 -6(5/12) = -1 5/6

4/6 -15/6 = -11/6 . . . . true