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 \( 4 \).
Answer for screen readers
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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