To add the two expressions \((-4y + 6)\) and \((-8y + 4)\), you simply combine like terms. Here are the steps:
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Write down the expressions: \[ (-4y + 6) + (-8y + 4) \]
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Remove the parentheses: \[ -4y + 6 - 8y + 4 \]
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Combine the like terms for \(y\): \[ -4y - 8y = -12y \]
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Combine the constant terms: \[ 6 + 4 = 10 \]
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Combine the results: \[ -12y + 10 \]
So, the final result is: \[ -12y + 10 \]