Let's solve the expression \( -0.2(6 - 4y) \).

We distribute the \( -0.2 \) to both terms inside the parentheses:

\[
-0.2(6 - 4y) = -0.2 \times 6 + (-0.2) \times (-4y)
\]

Now, calculate each term:

\[
-0.2 \times 6 = -1.2
\]
\[
(-0.2) \times (-4y) = 0.8y
\]

Thus, the expression simplifies to:

\[
-1.2 + 0.8y
\]

This is the simplified form of the expression.

Do you want further details or have any questions?

Here are five related questions to explore:
1. How would the solution change if \( y \) were replaced with another variable?
2. What happens if we set \( y = 3 \) in the simplified expression?
3. How do you solve similar expressions with multiple variables?
4. What would happen if we multiplied by a positive number instead of a negative number?
5. Can this expression be represented as a linear equation in the coordinate plane?

**Tip**: Pay close attention to the signs when distributing across parentheses, especially with negative numbers!

Learn how to simplify the expression -0.2 times the quantity 6 minus 4 times y. This problem involves applying the distributive property and simplifying algebraic expressions. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation