Solve for y: 3y – 9 = 0.

To solve for ( y ) in the equation ( 3y - 9 = 0 ), you first want to isolate ( y ). Begin by adding ( 9 ) to both sides of the equation, which helps to eliminate the constant term on the left side:

[ 3y - 9 + 9 = 0 + 9 ]

[ 3y = 9 ]

Next, to find ( y ), divide both sides by ( 3 ):

[ \frac{3y}{3} = \frac{9}{3} ]

[ y = 3 ]

This tells us that the value of ( y ) that satisfies the equation ( 3y - 9 = 0 ) is ( 3 ).

Thus, the correct answer reflects that when ( y ) is ( 3 ), the original equation becomes ( 3(3) - 9 = 0 ), confirming that the equation holds true.

Understanding the process of isolating ( y ) is crucial here, as it illustrates the steps needed to solve for a variable in a linear equation. This method can be applied to other similar equations, enhancing overall problem-solving