Simplify.
−0.6(3x – 2y) + 1.2(4x – y)
You asked:
Simplify the expression: \(-\left( 0.6 \left(3 x - 2 y\right) \right) + 1.2 \left(4 x - y\right)\)
MathBot Answer:
Simplified:
\[ -\left( 0.6 \left(3 x - 2 y\right) \right) + 1.2 \left(4 x - y\right) = 3 x \]
$$\begin{aligned}\left(1 + 2 \cdot \frac{1}{10}\right) \left(4 x - y\right) - \frac{6 \cdot \left(3 x - 2 y\right)}{10}\\\frac{\left(-9\right) x}{5} + \frac{6 y}{5} + \left(4 x - y\right) \left(1 + \frac{1}{5}\right)\\\frac{\left(-9\right) x}{5} + \frac{6 y}{5} + \frac{\left(4 x - y\right) 6}{5}\\\frac{\left(-9\right) x}{5} + \frac{6 y}{5} + \frac{\left(-6\right) y}{5} + \frac{24 x}{5}\\3 x\end{aligned}$$
Expanded:
\[ -\left( 0.6 \left(3 x - 2 y\right) \right) + 1.2 \left(4 x - y\right) = 3 x \]