Question
Answer
$$3(9y+1)+8\cdot(2-3y)=3y+19$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3(9y+1)+8\cdot(2-3y)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}27y+3+16-24y \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3y+19\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3} $ by $ \left( 9y+1\right) $ $$ \color{blue}{3} \cdot \left( 9y+1\right) = 27y+3 $$Multiply $ \color{blue}{8} $ by $ \left( 2-3y\right) $ $$ \color{blue}{8} \cdot \left( 2-3y\right) = 16-24y $$ |
| ② | Combine like terms: $$ \color{blue}{27y} + \color{red}{3} + \color{red}{16} \color{blue}{-24y} = \color{blue}{3y} + \color{red}{19} $$ |
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