Question
Answer
$$6(9y+1)+8\cdot(2-3y)=30y+22$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6(9y+1)+8\cdot(2-3y)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}54y+6+16-24y \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}30y+22\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{6} $ by $ \left( 9y+1\right) $ $$ \color{blue}{6} \cdot \left( 9y+1\right) = 54y+6 $$Multiply $ \color{blue}{8} $ by $ \left( 2-3y\right) $ $$ \color{blue}{8} \cdot \left( 2-3y\right) = 16-24y $$ |
| ② | Combine like terms: $$ \color{blue}{54y} + \color{red}{6} + \color{red}{16} \color{blue}{-24y} = \color{blue}{30y} + \color{red}{22} $$ |
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