Simplify the following expression. (53x + 82y) - (-38x + 4y)

Answer 1

To simplify the expression \((53x + 82y) - (-38x + 4y)\), we first distribute the negative sign across the terms inside the parentheses:

\[ (53x + 82y) + (38x - 4y) \]

Now, we can combine like terms:

1. Combine the \(x\) terms: \[ 53x + 38x = 91x \]

2. Combine the \(y\) terms: \[ 82y - 4y = 78y \]

Putting it all together, we get:

\[ 91x + 78y \]

Thus, the simplified expression is:

\[ \boxed{91x + 78y} \]