To simplify the expression \((3.1x - 2.4 + 1.9) + (2.2x - 1.4y - 3.4)\), we can combine like terms.
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Combine the terms in the first set of parentheses: \[ 3.1x - 2.4 + 1.9 = 3.1x + (-2.4 + 1.9) = 3.1x - 0.5 \]
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Now, look at the second set of parentheses: \[ 2.2x - 1.4y - 3.4 \]
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Now we can combine the new expression: \[ (3.1x - 0.5) + (2.2x - 1.4y - 3.4) \]
This expands to: \[ 3.1x - 0.5 + 2.2x - 1.4y - 3.4 \]
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Now combine the like terms:
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Combine the \(x\) terms: \[ 3.1x + 2.2x = 5.3x \]
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Combine the constant terms: \[ -0.5 - 3.4 = -3.9 \]
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Putting this all together, we have: \[ 5.3x - 1.4y - 3.9 \]
Therefore, the expression equivalent to \((3.1x - 2.4 + 1.9) + (2.2x - 1.4y - 3.4)\) is:
\[ 5.3x - 1.4y - 3.9 \]
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