Video: Simplifying Expressions

Simplify the expression 6π‘₯ + 2𝑦 βˆ’ 3π‘₯ βˆ’ 4𝑦.

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Video Transcript

Simplify the expression six π‘₯ plus two 𝑦 minus three π‘₯ minus four 𝑦.

In order to simplify this expression, we need to group the like terms. Let’s look at the π‘₯ terms first. We have six π‘₯ minus three π‘₯. This gives us three π‘₯, as six π‘₯ minus three π‘₯ is equal to three π‘₯.

We also need to group or collect the 𝑦 terms. We have a positive two 𝑦 and a negative four 𝑦. Grouping these, two 𝑦 minus four 𝑦 gives us negative two 𝑦.

Therefore, the simplified version of the expression six π‘₯ plus two 𝑦 minus three π‘₯ minus four 𝑦 is three π‘₯ minus two 𝑦.

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