Simplify four 𝑦 minus three 𝑧 minus three 𝑦 plus five 𝑧.
In order to simplify this expression, we need to group or collect like terms. We need to group the four 𝑦 and negative three 𝑦. And then separately, the negative three 𝑧 and positive five 𝑧. Firstly, let’s group the 𝑦 terms, four 𝑦 minus three 𝑦. Four minus three is equal to one. Therefore, this is equal to one 𝑦 or just 𝑦.
Grouping the 𝑧 terms gives us negative three 𝑧 plus five 𝑧. Negative three plus five is equal to two. This means that negative three 𝑧 plus five 𝑧 is equal to two 𝑧. The expression for 𝑦 minus three 𝑧 minus three 𝑦 plus five 𝑧 simplifies to 𝑦 plus two 𝑧. We can group or collect the terms in either order. 𝑦 plus two 𝑧 is the same as two 𝑧 plus 𝑦. Generally, we do them in alphabetical order. In this case, we grouped the 𝑦s before the 𝑧s.