rewrite the equation so that y is a function of x

2-y/6=8x

Star with

y/6 = 2 - 8x

Now multiply both sides by 6.

y = ____ - ____

thank you

To rewrite the equation so that y is a function of x, we need to isolate the variable y on one side of the equation. Here's how you can do it step by step:

Step 1: Multiply both sides of the equation by 6 to eliminate the fraction:

6 * (2 - y/6) = 6 * 8x

This simplifies to:

12 - y = 48x

Step 2: Move the constant term (12) to the other side by subtracting it from both sides of the equation:

12 - y - 12 = 48x - 12

This simplifies to:

-y = 48x - 12

Step 3: Multiply both sides of the equation by -1 to change the sign of y:

-1 * (-y) = -1 * (48x - 12)

This simplifies to:

y = -48x + 12

Therefore, the rewritten equation, with y as a function of x, is:

y = -48x + 12