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