To simplify the expression \((3y - 5x - 4) - (10 + 2x - 4y)\), we first distribute the negative sign across the second set of parentheses:
\[ 3y - 5x - 4 - 10 - 2x + 4y \]
Next, we combine like terms. Let's group the terms:
- For \(y\) terms: \(3y + 4y = 7y\)
- For \(x\) terms: \(-5x - 2x = -7x\)
- For constant terms: \(-4 - 10 = -14\)
Putting it all together, we have:
\[ 7y - 7x - 14 \]
Therefore, the equivalent expression is:
\[ \boxed{7y - 7x - 14} \]
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