Solve 4(-5y+5)-3y=7(y-1)-7

$$4 ( - 5 y + 5 ) - 3 y = 7 ( y - 1 ) - 7$$

Solve for y

$$y = \frac{17}{15} = 1\frac{2}{15} \approx 1.133333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by -5y+5.

$$-20y+20-3y=7\left(y-1\right)-7$$

Combine -20y and -3y to get -23y.

$$-23y+20=7\left(y-1\right)-7$$

Use the distributive property to multiply 7 by y-1.

$$-23y+20=7y-7-7$$

Subtract 7 from -7 to get -14.

$$-23y+20=7y-14$$

Subtract 7y from both sides.

$$-23y+20-7y=-14$$

Combine -23y and -7y to get -30y.

$$-30y+20=-14$$

Subtract 20 from both sides.

$$-30y=-14-20$$

Subtract 20 from -14 to get -34.

$$-30y=-34$$

Divide both sides by -30.

$$y=\frac{-34}{-30}$$

Reduce the fraction \frac{-34}{-30} to lowest terms by extracting and canceling out -2.

$$y=\frac{17}{15}$$