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Simplify the expression to \(6x + 2y + 8\).
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The Deep Dive
To simplify the expression \( (4x - 3y + 9) - (-2x - 5y + 1) \), first distribute the negative sign: \[ (4x - 3y + 9) + (2x + 5y - 1) \] Now, combine like terms: - Combine the \( x \) terms: \( 4x + 2x = 6x \) - Combine the \( y \) terms: \( -3y + 5y = 2y \) - Combine the constant terms: \( 9 - 1 = 8 \) Putting it all together, we get: \[ 6x + 2y + 8 \] So, the simplified expression is \( 6x + 2y + 8 \).
