To simplify the expression \(-19c + 13y + 18c - 12y\), we can combine like terms.
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Combine the \(c\) terms: \(-19c + 18c = -1c\) or \(-c\).
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Combine the \(y\) terms: \(13y - 12y = 1y\) or \(y\).
Now, putting it all together: \(-c + y\).
This can be rewritten as: \(-c + y = -c + y\).
So the simplified expression is: \(-c + y\).
Now, looking at the provided options:
a. \(c - y\)
b. \(-c + y\)
c. \(2c - y\)
The answer is b: \(-c + y\).