Solve 11.2left(5y-1right)+3left(13.4-7yright)=36

$$11.2 \left( 5y-1 \right) +3 \left( 13.4-7y \right) = 36$$

Solve for y

$$y=0.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 11.2 by 5y-1.

$$56y-11.2+3\left(13.4-7y\right)=36$$

Use the distributive property to multiply 3 by 13.4-7y.

$$56y-11.2+40.2-21y=36$$

Add -11.2 and 40.2 to get 29.

$$56y+29-21y=36$$

Combine 56y and -21y to get 35y.

$$35y+29=36$$

Subtract 29 from both sides.

$$35y=36-29$$

Subtract 29 from 36 to get 7.

$$35y=7$$

Divide both sides by 35.

$$y=\frac{7}{35}$$

Reduce the fraction \frac{7}{35} to lowest terms by extracting and canceling out 7.

$$y=\frac{1}{5}$$