Solve 4y-3(20-y)=6y-7(11-y)

$$4 y - 3 ( 20 - y ) = 6 y - 7 ( 11 - y )$$

Solve for y

$$y = \frac{17}{6} = 2\frac{5}{6} \approx 2.833333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 20-y.

$$4y-60+3y=6y-7\left(11-y\right)$$

Combine 4y and 3y to get 7y.

$$7y-60=6y-7\left(11-y\right)$$

Use the distributive property to multiply -7 by 11-y.

$$7y-60=6y-77+7y$$

Combine 6y and 7y to get 13y.

$$7y-60=13y-77$$

Subtract 13y from both sides.

$$7y-60-13y=-77$$

Combine 7y and -13y to get -6y.

$$-6y-60=-77$$

Add 60 to both sides.

$$-6y=-77+60$$

Add -77 and 60 to get -17.

$$-6y=-17$$

Divide both sides by -6.

$$y=\frac{-17}{-6}$$

Fraction \frac{-17}{-6} can be simplified to \frac{17}{6} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{17}{6}$$