Evaluate Using the Given Value -6=3x-6y*4x-4+5y

$- 6 = 3 x - 6 y \cdot 4 x - 4 + 5 y$

Step 1

Rewrite the equation as $3 x - 6 y \cdot (4 x) - 4 + 5 y = - 6$ .

$3 x - 6 y \cdot (4 x) - 4 + 5 y = - 6$

Step 2

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 x - 6 \cdot 4 y x - 4 + 5 y = - 6$

Multiply $- 6$ by $4$ .

$3 x - 24 y x - 4 + 5 y = - 6$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Add $4$ to both sides of the equation.

$3 x - 24 y x + 5 y = - 6 + 4$

Subtract $5 y$ from both sides of the equation.

$3 x - 24 y x = - 6 + 4 - 5 y$

Add $- 6$ and $4$ .

$3 x - 24 y x = - 2 - 5 y$

Step 4

Factor $3 x$ out of $3 x - 24 y x$ .

Factor $3 x$ out of $3 x$ .

$3 x (1) - 24 y x = - 2 - 5 y$

Factor $3 x$ out of $- 24 y x$ .

$3 x (1) + 3 x (- 8 y) = - 2 - 5 y$

Factor $3 x$ out of $3 x (1) + 3 x (- 8 y)$ .

$3 x (1 - 8 y) = - 2 - 5 y$

Step 5

Divide each term in $3 x (1 - 8 y) = - 2 - 5 y$ by $3 (1 - 8 y)$ and simplify.

Divide each term in $3 x (1 - 8 y) = - 2 - 5 y$ by $3 (1 - 8 y)$ .

$\frac{3 x (1 - 8 y)}{3 (1 - 8 y)} = \frac{- 2}{3 (1 - 8 y)} + \frac{- 5 y}{3 (1 - 8 y)}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x (1 - 8 y)}{3 (1 - 8 y)} = \frac{- 2}{3 (1 - 8 y)} + \frac{- 5 y}{3 (1 - 8 y)}$

Rewrite the expression.

$\frac{x (1 - 8 y)}{1 - 8 y} = \frac{- 2}{3 (1 - 8 y)} + \frac{- 5 y}{3 (1 - 8 y)}$

Cancel the common factor of $1 - 8 y$ .

Cancel the common factor.

$\frac{x (1 - 8 y)}{1 - 8 y} = \frac{- 2}{3 (1 - 8 y)} + \frac{- 5 y}{3 (1 - 8 y)}$

Divide $x$ by $1$ .

$x = \frac{- 2}{3 (1 - 8 y)} + \frac{- 5 y}{3 (1 - 8 y)}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$x = - \frac{2}{3 (1 - 8 y)} + \frac{- 5 y}{3 (1 - 8 y)}$

Move the negative in front of the fraction.

$x = - \frac{2}{3 (1 - 8 y)} - \frac{5 y}{3 (1 - 8 y)}$

Evaluate Using the Given Value -6=3x-6y*4x-4+5y

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