Question

Difficulty: EasySolving One-Variable Linear Equations

Consider the linear equation below:

6y - 18 = 24

What is the value of $y$ ?

The correct value is 7.

The correct answer is found by first adding 18 to both sides of the equation to get

6y = 42

. Then, dividing both sides by 6 isolates

y

, resulting in

y = 7

Isolate the term with the variable by adding 18 to both sides of the equation.

6y = 42

Applying the addition property of equality cancels out the -18 on the left side.

Solve for the variable by dividing both sides by 6.

y = 7

Dividing by the coefficient of the variable isolates

y

and provides the final solution.

Solving linear equations by isolating the variable using inverse operations.

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