Translate the sentence into an equation.Three times the sum of a number and 6 is 7.Use the variable y for the unknown number.

1. Break Down the Problem

We need to translate the given sentence into a mathematical equation using the variable $y$.

2. Relevant Concepts

The phrase "three times the sum of a number and 6" suggests that we need to first determine the sum of the unknown number $y$ and 6, and then multiply that sum by 3. The sentence states that this is equal to 7.

3. Analysis and Detail

1. Identify the sum: The sum of the number $y$ and 6 is expressed as $y + 6$.
2. Multiply by 3: We then multiply this sum by 3, yielding $3(y + 6)$.
3. Set equal to 7: According to the problem, this expression is equal to 7.

Thus, we can combine these parts to form the equation.

4. Verify and Summarize

Putting it all together, the equation that represents the sentence is: $3(y + 6) = 7$

Final Answer

The translated equation is: $3(y + 6) = 7$