-6y + 8 = y +9 - 7y - 1

To solve this equation, we need to simplify both sides and isolate the variable y.

Starting with the left side of the equation:
-6y + 8

On the right side:
y + 9 - 7y - 1

Now we can combine like terms on both sides:

-6y + 8 = y + 9 - 7y - 1

Combining the y terms on the right side:
-6y + 8 = -6y + 8

Now let's isolate the variable y by moving the y terms to one side of the equation:

-6y + 6y + 8 = -6y + 6y + 8

Simplifying further:
8 = 8

Since 8 is equal to 8, this equation is satisfied for any value of y. Therefore, the solution for this equation is all real numbers.