Solve -4y-6(3y-3)=3-1(2-y)

$$- 4 y - 6 ( 3 y - 3 ) = 3 - 1 ( 2 - y )$$

Solve for y

$$y=\frac{17}{23}\approx 0.739130435$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by 3y-3.

$$-4y-18y+18=3-\left(2-y\right)$$

Combine -4y and -18y to get -22y.

$$-22y+18=3-\left(2-y\right)$$

To find the opposite of 2-y, find the opposite of each term.

$$-22y+18=3-2-\left(-y\right)$$

The opposite of -y is y.

$$-22y+18=3-2+y$$

Subtract 2 from 3 to get 1.

$$-22y+18=1+y$$

Subtract y from both sides.

$$-22y+18-y=1$$

Combine -22y and -y to get -23y.

$$-23y+18=1$$

Subtract 18 from both sides.

$$-23y=1-18$$

Subtract 18 from 1 to get -17.

$$-23y=-17$$

Divide both sides by -23.

$$y=\frac{-17}{-23}$$

Fraction \frac{-17}{-23} can be simplified to \frac{17}{23} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{17}{23}$$