What is the value of y in the equation 3y - 7 = 2?

Study for the TExES Mathematics 4-8 Test. Practice with flashcards and multiple choice questions. Assess your knowledge to prepare effectively and excel in your exam!

To find the value of y in the equation 3y - 7 = 2, you start by isolating the variable y. First, add 7 to both sides of the equation to eliminate the -7 on the left side:

3y - 7 + 7 = 2 + 7, which simplifies to 3y = 9.

Next, to solve for y, divide both sides of the equation by 3:

3y/3 = 9/3, which simplifies to y = 3.

Thus, the correct value of y is 3. This process of isolating the variable by performing inverse operations exemplifies standard algebraic techniques used to solve equations. It is essential to apply these steps systematically to arrive at the correct solution.

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