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

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

Solve for y

$$y=-\frac{7}{15}\approx -0.466666667$$

Steps for Solving Linear Equation

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

$$-18y+9-y=-4\left(y-4\right)$$

Combine -18y and -y to get -19y.

$$-19y+9=-4\left(y-4\right)$$

Use the distributive property to multiply -4 by y-4.

$$-19y+9=-4y+16$$

Add 4y to both sides.

$$-19y+9+4y=16$$

Combine -19y and 4y to get -15y.

$$-15y+9=16$$

Subtract 9 from both sides.

$$-15y=16-9$$

Subtract 9 from 16 to get 7.

$$-15y=7$$

Divide both sides by -15.

$$y=\frac{7}{-15}$$

Fraction \frac{7}{-15} can be rewritten as -\frac{7}{15} by extracting the negative sign.

$$y=-\frac{7}{15}$$