Solve the equation 12 = bY - 3 for Y. Show each step used to solve for Y and justify by giving the property used for each step.
To solve the equation 12 = bY - 3 for Y, we will isolate Y on one side of the equation.
Step 1: Add 3 to both sides of the equation:
12 + 3 = bY - 3 + 3
15 = bY
Justification: In this step, we used the addition property of equality, which states that if we add the same number to both sides of an equation, the equality remains true.
Step 2: Divide both sides of the equation by b:
15/b = bY/b
15/b = Y
Justification: In this step, we used the division property of equality, which states that if we divide both sides of an equation by the same non-zero number, the equality remains true.
Therefore, the solution to the equation 12 = bY - 3 for Y is Y = 15/b.