To determine which pairs of algebraic expressions are not equivalent, we will simplify each pair.
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For the expressions \(x + 3 + 3y\) and \(x + 3(1 + y)\):
- \(x + 3 + 3y\) is already simplified.
- \(x + 3(1 + y) = x + 3 + 3y\).
Both expressions are equivalent.
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For the expressions \(2(x - 1) + y\) and \(2x + y - 2\):
- \(2(x - 1) + y = 2x - 2 + y\).
- \(2x + y - 2\) is already \(2x + y - 2\).
Both expressions are equivalent.
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For the expressions \(x + 4 + y\) and \(4x + y\):
- \(x + 4 + y\) cannot be simplified to equal \(4x + y\).
These expressions are not equivalent.
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For the expressions \(x + 4 + y\) and \(x + 5 + y - 1\):
- \(x + 5 + y - 1 = x + 4 + y\).
Both expressions are equivalent.
Conclusion:
The pair of expressions that are not equivalent is:
\(x + 4 + y\) and \(4x + y\).