Solve 1.8-0.4ygeq2.2-2y

$$1.8 - 0.4 y \geq 2.2 - 2 y$$

Solve for y

$$y\geq 0.25$$

Solution Steps

Add 2y to both sides.

$$1.8-0.4y+2y\geq 2.2$$

Combine -0.4y and 2y to get 1.6y.

$$1.8+1.6y\geq 2.2$$

Subtract 1.8 from both sides.

$$1.6y\geq 2.2-1.8$$

Subtract 1.8 from 2.2 to get 0.4.

$$1.6y\geq 0.4$$

Divide both sides by 1.6. Since 1.6 is positive, the inequality direction remains the same.

$$y\geq \frac{0.4}{1.6}$$

Expand \frac{0.4}{1.6} by multiplying both numerator and the denominator by 10.

$$y\geq \frac{4}{16}$$

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

$$y\geq \frac{1}{4}$$