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Simplify (8𝑦² − 3𝑦 + 2) − (3𝑦² + 5𝑦 + 1).

Simplify eight 𝑦 squared minus three 𝑦 plus two minus three 𝑦 squared plus five 𝑦 plus one.

In order to simplify this expression, we need to group or simplify the like terms. Firstly, we need to subtract three 𝑦 squared from eight 𝑦 squared. This is equal to five 𝑦 squared as eight minus three is equal to five.

Secondly, we need to subtract positive five 𝑦 from negative three 𝑦. Negative three 𝑦 minus five 𝑦 is equal to negative eight 𝑦 as negative three minus five is equal to negative eight.

Finally, we need to subtract one from two. This is equal to positive one.

This means that the simplified version of eight 𝑦 squared minus three 𝑦 plus two minus three 𝑦 squared plus five 𝑦 plus one is equal to five 𝑦 squared minus eight 𝑦 plus one.

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