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Video: Simplifying Expressions

Rhodri Jones

Simplify the expression 6𝑥 + 2𝑦 − 3𝑥 − 4𝑦.

00:54

Video Transcript

Simplify the expression six 𝑥 plus two 𝑦 minus three 𝑥 minus four 𝑦.

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

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 𝑥 plus two 𝑦 minus three 𝑥 minus four 𝑦 is three 𝑥 minus two 𝑦.