The problem asks to translate the given sentence into an equation using the variable $y$.

Sentence to Translate:

"The sum of 4 times a number and 7 is 2."

Translation:

• "4 times a number" translates to $4y$.
• "The sum of 4 times a number and 7" translates to $4y + 7$.
• "is 2" means the expression equals 2.

Resulting Equation:

$4y + 7 = 2$

If you need any further explanation or have more questions, feel free to ask!

Related Questions:

1. How do you solve the equation $4y + 7 = 2$?
2. How can you translate sentences involving subtraction into equations?
3. What is the process for solving equations with variables on both sides?
4. How can you verify the solution of an equation?
5. What are some common mistakes to avoid when translating word problems into equations?

Tip: When translating word problems into equations, carefully identify key phrases like "sum of," "times," and "is," which correspond to mathematical operations like addition, multiplication, and equality, respectively.