What is the answer to this one?

4/7y - 8 = 2/7y + 10

4/7y - 8 = 2/7y + 10
(4/7y - 8) - 2/7y = (2/7y + 10)- 2/7y

2/7y - 8 = 10
2/7y - 8 + 8 = 10 - 8
2/7y = 2
(2/7 y)/ 2/7 = 2/1 / 2/7
y = 2/14 or 1/7

7y - 8 = 2/7y + 10

4/7y - 8 = 2/7y + 10
(4/7y - 8) - 2/7y = (2/7y + 10)- 2/7y

2/7y - 8 = 10
2/7y - 8 + 8 = 10 - 8 ((((((error here should be +8 on the right))))

2/7y = 18

(2/7y) / 2/7 = 18 / (2/7)
y = 63

does y = 63

correct

Thank you again! Really appreciate it.

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To solve the equation 4/7y - 8 = 2/7y + 10, we need to isolate the variable "y" on one side of the equation.

First, we can simplify the equation by combining like terms. On the left side, we have 4/7y and on the right side, we have 2/7y.

Subtracting 2/7y from both sides gives us:

(4/7y - 2/7y) - 8 = 2/7y + 10 - 2/7y

Simplifying this further:

(2/7y) - 8 = 10

Next, we can add 8 to both sides of the equation to eliminate the -8 on the left side:

(2/7y) - 8 + 8 = 10 + 8

Simplifying further:

2/7y = 18

To isolate the variable "y", we divide both sides of the equation by 2/7:

(2/7y) / (2/7) = 18 / (2/7)

When we divide by a fraction, we multiply by its reciprocal:

(2/7y) * (7/2) = 18 * (7/2)

Simplifying further:

y = 63/2 or 31.5

So the solution to the equation 4/7y - 8 = 2/7y + 10 is y = 63/2 or 31.5.