Question
Answer
$$4(y+5)+3(y-4)=7y+8$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4(y+5)+3(y-4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4y+20+3y-12 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}7y+8\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4} $ by $ \left( y+5\right) $ $$ \color{blue}{4} \cdot \left( y+5\right) = 4y+20 $$Multiply $ \color{blue}{3} $ by $ \left( y-4\right) $ $$ \color{blue}{3} \cdot \left( y-4\right) = 3y-12 $$ |
| ② | Combine like terms: $$ \color{blue}{4y} + \color{red}{20} + \color{blue}{3y} \color{red}{-12} = \color{blue}{7y} + \color{red}{8} $$ |
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