Questions: Simplify. 5x - 3(-3y + 5x) + 3y

Simplify. 5x - 3(-3y + 5x) + 3y
Transcript text: Simplify. \[ 5 x-3(-3 y+5 x)+3 y \]
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Solution

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Solution Steps

To simplify the given expression, we need to distribute the -3 across the terms inside the parentheses, combine like terms, and simplify the expression.

Step 1: Distribute the Terms

We start with the expression: \[ 5x - 3(-3y + 5x) + 3y \] First, we distribute \(-3\) across the terms inside the parentheses: \[ 5x + 9y - 15x + 3y \]

Step 2: Combine Like Terms

Next, we combine the like terms:

  • For the \(x\) terms: \(5x - 15x = -10x\)
  • For the \(y\) terms: \(9y + 3y = 12y\)

Thus, the expression simplifies to: \[ -10x + 12y \]

Final Answer

The simplified expression is \[ \boxed{-10x + 12y} \]

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