I have some red, green beans and bottles. If I put \( 5 \) beans into each bottle, nothing will be left. Instead, if I put \( 3 \) red beans into each bottle, I will have \( 1 \) red bean left. However, if I put \( 3 \) green beans into each bottle, I will have \( 2 \) green beans and \( 2 \) bottles left.

Express red beans as \( x \), green beans as \( y \), bottles as \( z \), find the value of \( xyz-xy \)

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