Understanding the Statement
To create an equation from the given statement, let’s break down what it means. The statement is: “If you take away 6 from 6 times y you get 6.”
Identifying Components
- 6 times y: This refers to multiplying the variable y by 6, which can be written as 6y.
- Take away 6: This means we will subtract 6 from the result of 6 times y.
- You get 6: This indicates that the result after the subtraction equals 6.
Formulating the Equation
Using the components identified, we can write the equation:
- Start with 6 times y: 6y
- Subtract 6 from it: 6y - 6
- Set the result equal to 6: 6y - 6 = 6
Thus, the equation derived from the statement is:
Final Equation
6y - 6 = 6
Solving the Equation
To find the value of y, you can solve the equation as follows:
1. Add 6 to both sides:
- 6y - 6 + 6 = 6 + 6
- Simplifies to: 6y = 12
2. Divide both sides by 6:
- 6y / 6 = 12 / 6
- Simplifies to: y = 2
Conclusion
The final equation derived from the statement is 6y - 6 = 6, and the value of y is 2. This process shows how to translate a word problem into a mathematical equation and solve it step by step.