Final answer:
The property illustrated by the given equation is the commutative property of addition.
Step-by-step explanation:
The property illustrated by the given equation is the commutative property of addition.
This property states that the order of the numbers being added does not affect the sum. In this case, the terms on the left side of the equation can be rearranged without changing the result.
For example, if we reorder the terms on the left side of the equation, we have: 6x + 3x - 2y + 7y
= 6x + x + 3x + 7y - 2y
= (6x + x + 3x) + (7y - 2y)
= (6x + x + 3x) + 5y
= (6 + 1 + 3)x + 5y
= 10x + 5y
So, the equation remains the same.
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