2/3y= 6 1/6.

2/3y= 6 1/6.

y = (37/6)/(2/3)
y = (37/6) * (3/2)

y = ?

y= 9 1/4

is that correct ms.Sue?

Yes. y = 9 1/4

thank u<3

To solve the equation 2/3y = 6 1/6, we need to find the value of y.

Step 1: Convert the mixed number 6 1/6 into an improper fraction:
6 1/6 = (6 * 6 + 1) / 6 = 37/6

Step 2: Rewrite the equation using the improper fraction:
2/3y = 37/6

Step 3: To isolate the variable y, multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2/3y) * (3/2) = (37/6) * (3/2)
(2/3) * (3/2) * y = 37/6 * 3/2

Step 4: Simplify both sides of the equation:
(2 * 3 * y) / (3 * 2) = (37 * 3) / (6 * 2)
6y / 6 = 111/12

Step 5: Cancel out the common factor of 6 in the numerator and denominator on the left side of the equation:
y = 111/12

Step 6: Simplify the fraction if necessary:
y = 37/4

Therefore, the solution to the equation 2/3y = 6 1/6 is y = 37/4.