The expression you provided, \( -2xy + y \), can indeed be transformed and interpreted using the **binomial formulas** (or **binomial identities**), also known as the **distributive property** in expanded form.

However, the binomial formulas generally refer to special expansions like:

1. \((a + b)^2 = a^2 + 2ab + b^2\)
2. \((a - b)^2 = a^2 - 2ab + b^2\)
3. \((a + b)(a - b) = a^2 - b^2\)

Your expression does not directly match any of these forms. However, we can manipulate it to resemble a binomial product. Let's rewrite \( -2xy + y \) to highlight it better:

### Step 1: Factor the common term \( y \):
\[
y(-2x + 1)
\]

### Step 2: Interpret using binomial terms
Here, you can interpret \( (-2x + 1) \) as one binomial factor. Although it doesn't resemble a squared binomial expression, it's still a linear binomial in the form \( a + b \) where \( a = -2x \) and \( b = 1 \).

### Conclusion:
- \( -2xy + y \) is factored as \( y(-2x + 1) \), which is in a distributive form but not in the classical squared binomial formula.

To apply the **binomial formulas** (like squaring or the difference of squares), you'd need an expression structured differently (with perfect squares or similar terms).

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Learn how to apply binomial formulas and factoring techniques to the expression -2xy + y. This detailed explanation includes factoring, identifying common terms, and understanding the distributive property. Suitable for students in Grades 8-10, covering core algebra concepts.

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