Final answer:
To solve the equation y = (2/3)x - 6, isolate the variable y by adding 6 to both sides and then multiplying both sides by 3/2.
Step-by-step explanation:
To solve the equation y = (2/3)x - 6, you need to isolate the variable y. Follow these steps: Start with the equation y = (2/3)x - 6. Add 6 to both sides of the equation to cancel out the -6: y + 6 = (2/3)x - 6 + 6. Simplify: y + 6 = (2/3)x. Multiply both sides of the equation by 3/2 to eliminate the fraction: (3/2)(y + 6) = (3/2)((2/3)x). Simplify: (3/2)y + 9 = x. Therefore, the solution to the equation is x = (3/2)y + 9.