Solve 5.60(-0.76y+22.29)+5.40y=147.20

$$5.60 ( - 0.76 y + 22.29 ) + 5.40 y = 147.20$$

Solve for y

$$y = \frac{2797}{143} = 19\frac{80}{143} \approx 19.559440559$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5.6 by -0.76y+22.29.

$$-4.256y+124.824+5.4y=147.2$$

Combine -4.256y and 5.4y to get 1.144y.

$$1.144y+124.824=147.2$$

Subtract 124.824 from both sides.

$$1.144y=147.2-124.824$$

Subtract 124.824 from 147.2 to get 22.376.

$$1.144y=22.376$$

Divide both sides by 1.144.

$$y=\frac{22.376}{1.144}$$

Expand \frac{22.376}{1.144} by multiplying both numerator and the denominator by 1000.

$$y=\frac{22376}{1144}$$

Reduce the fraction \frac{22376}{1144} to lowest terms by extracting and canceling out 8.

$$y=\frac{2797}{143}$$