Simplify the algebraic expression: 4(3x + y) – 2(x – 5y)

asked by guest
on Jan 24, 2025 at 3:35 am



You asked:

Simplify the expression: \(4 \left(3 x + y\right) - 2 \left(x - 5 y\right)\)

MathBot Answer:

Simplified:

\[ 4 \left(3 x + y\right) - 2 \left(x - 5 y\right) = 10 x + 14 y \]

$$\begin{aligned}4 \cdot \left(3 x + y\right) - 2 \left(x - 5 y\right)\\- 2 \left(x - 5 y\right) + 4 \cdot \left(3 x + y\right)\\- 2 \left(x - 5 y\right) + 4 y + 12 x\\- 2 \left(- 5 y + x\right) + 4 y + 12 x\\- 2 x + 10 y + 4 y + 12 x\\10 x + 14 y\end{aligned}$$

Expanded:

\[ 4 \left(3 x + y\right) - 2 \left(x - 5 y\right) = 10 x + 14 y \]


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