2. Combine like terms in \( 6 y-3+4 y+7 \) \( (60 y+4 \) \( \begin{array}{l}\text { b. } 6 y+4 \\ \begin{array}{l}\text { c. } 10 y+10 \\ \text { d. } 2 y+10\end{array}\end{array} \begin{array}{l}6 y+4 y=-10 y+4 \\ \text { ( } 20+7=4\end{array} \)
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The Deep Dive
First, let’s start by combining the like terms in your expression! We have \( 6y + 4y \) which gives us \( 10y \). Then, when we combine the constants \(-3 + 7\), we get \(10\). Therefore, the final simplified expression is \(10y + 4\)! Next, beware of sign mistakes! It’s easy to mismanage positive and negative signs when adding and subtracting constants, especially in longer expressions. Make sure to take your time and double-check your math—it can be helpful to write each step down. Also, organize your variables and constants to keep everything neat!
