Let's analyze each pair of expressions to determine if they are equivalent.
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8⋅c + 40 and 8(c−5):
- 8(c−5) = 8c - 40
- This is not equivalent to 8c + 40.
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6(y + 3) and 6⋅y + 3:
- 6(y + 3) = 6y + 18
- This is not equivalent to 6y + 3.
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12⋅t + 6 and 12(t + 12):
- 12(t + 12) = 12t + 144
- This is not equivalent to 12t + 6.
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−5(a − 1) and −5⋅a − 5:
- −5(a − 1) = −5a + 5
- This is equivalent to -5⋅a + 5, not -5⋅a - 5.
After checking all pairs, none of the provided pairs of expressions are equivalent.