Answer
$$4(y-3)+2(y+4)=6y-4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4(y-3)+2(y+4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4y-12+2y+8 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}6y-4\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4} $ by $ \left( y-3\right) $ $$ \color{blue}{4} \cdot \left( y-3\right) = 4y-12 $$Multiply $ \color{blue}{2} $ by $ \left( y+4\right) $ $$ \color{blue}{2} \cdot \left( y+4\right) = 2y+8 $$ |
| ② | Combine like terms: $$ \color{blue}{4y} \color{red}{-12} + \color{blue}{2y} + \color{red}{8} = \color{blue}{6y} \color{red}{-4} $$ |
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