How do you solve the equation y-3=-¼ (x+3)

Because you have two variables and only one equation, you can only solve for approximate answers, and not complete, absolute answers.

You can simplify this equation to x = - 4y + 12

y - 3 = - 1/4 (x + 3)

Distributive property.

y - 3 = - 1/4x - 3/4

Multiply all terms by 4.

4y - 12 = - x

Multiply all terms by - 1

-4y + 12 = x