The equation is 2y + 4 = 12, solve for y. What is the correct value of y that makes the equation true?

Understand the Problem

The question is asking for the value of y in the equation 2y + 4 = 12. We need to solve for y to determine which provided option is correct.

Answer

The value of $ y $ is $ 4 $.

Steps to Solve

Isolate the term with y

Start by subtracting 4 from both sides of the equation to move the constant term.

$$ 2y + 4 - 4 = 12 - 4 $$

This simplifies to:

$$ 2y = 8 $$

Divide by the coefficient of y

Now, divide both sides of the equation by 2 to solve for y.

$$ \frac{2y}{2} = \frac{8}{2} $$

This simplifies to:

$$ y = 4 $$

The value of ( y ) is ( 4 ).

More Information

This problem is a straightforward example of solving a linear equation for a single variable. The equation shows a simple balance, where the goal is to isolate ( y ) by performing inverse operations.

Tips

Not simplifying correctly: Sometimes students forget to simplify after subtracting or dividing. Always double-check your arithmetic.
Dividing incorrectly: Make sure that you divide the entire equation by the coefficient of ( y ).

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