Final answer:
To solve the equation 4.5x - 1.5y = 5.4 for y, subtract 4.5x from both sides and divide by -1.5, yielding the solution y = -3x + 3.6.
Step-by-step explanation:
To solve the equation 4.5x - 1.5y = 5.4 for y, you first want to isolate y on one side of the equation. Here's a step-by-step solution:
4.5x - 1.5y = 5.4
Subtract 4.5x from both sides: -1.5y = -4.5x + 5.4
Divide each term by -1.5 to solve for y: y = (4.5x - 5.4) / -1.5
Simplify the equation: y = -3x + 3.6
Now y is isolated, and the equation is solved for y in terms of x.