Solve 8left(-y-2right)=-5y-6left(6-9yright)

$$8 \left( -y-2 \right) = -5y-6 \left( 6-9y \right)$$

Solve for y

$$y=\frac{20}{57}\approx 0.350877193$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by -y-2.

$$8\left(-y\right)-16=-5y-6\left(6-9y\right)$$

Use the distributive property to multiply -6 by 6-9y.

$$8\left(-y\right)-16=-5y-36+54y$$

Combine -5y and 54y to get 49y.

$$8\left(-y\right)-16=49y-36$$

Subtract 49y from both sides.

$$8\left(-y\right)-16-49y=-36$$

Add 16 to both sides.

$$8\left(-y\right)-49y=-36+16$$

Add -36 and 16 to get -20.

$$8\left(-y\right)-49y=-20$$

Multiply 8 and -1 to get -8.

$$-8y-49y=-20$$

Combine -8y and -49y to get -57y.

$$-57y=-20$$

Divide both sides by -57.

$$y=\frac{-20}{-57}$$

Fraction \frac{-20}{-57} can be simplified to \frac{20}{57} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{20}{57}$$