7y + 2 – 4y = 10 is equal to which of the following expressions?

(A) y = 
3
8

(B) y = 
2
3

(C) y = 
8
3

(D) y = 3

(E) 3y = 12

To solve the equation \(7y + 2 - 4y = 10\), let's simplify and isolate \(y\) step by step.

1. Combine like terms on the left-hand side:
   \[
   7y - 4y + 2 = 10
   \]
   This simplifies to:
   \[
   3y + 2 = 10
   \]

2. Subtract 2 from both sides to isolate the term with \(y\):
   \[
   3y = 8
   \]

3. Finally, divide both sides by 3 to solve for \(y\):
   \[
   y = \frac{8}{3}
   \]

The correct answer is therefore **(C) \(y = \frac{8}{3}\)**.

Would you like any further details or explanations?

Here are some related questions you might find useful:
1. How do you solve equations with variables on both sides?
2. What are the steps for combining like terms in an equation?
3. How do you isolate a variable in an equation?
4. What does it mean to simplify an equation?
5. How can you verify your solution to an equation?

**Tip:** Always double-check your work by substituting your solution back into the original equation to ensure it satisfies the equation.

7y + 2 - 4y = 10 is equal to which of the following expressions?

Learn how to solve the equation 7y + 2 - 4y = 10 step-by-step with detailed explanations and find out which expression is correct. This problem involves combining like terms and solving for a variable, suitable for students in Grades 7-9.

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