Solve 16-03/2y+44+15/5y<-405y

$$\frac { 16 - 03 } { 2 } y + \frac { 44 + 15 } { 5 } y < - 405 y$$

Solve for y

$$y<0$$

Solution Steps

Multiply both sides of the equation by 10, the least common multiple of 2,5. Since 10 is positive, the inequality direction remains the same.

$$5\left(16-0\times 3\right)y+2\left(44+15\right)y<-4050y$$

Multiply 0 and 3 to get 0.

$$5\left(16-0\right)y+2\left(44+15\right)y<-4050y$$

Subtract 0 from 16 to get 16.

$$5\times 16y+2\left(44+15\right)y<-4050y$$

Multiply 5 and 16 to get 80.

$$80y+2\left(44+15\right)y<-4050y$$

Add 44 and 15 to get 59.

$$80y+2\times 59y<-4050y$$

Multiply 2 and 59 to get 118.

$$80y+118y<-4050y$$

Combine 80y and 118y to get 198y.

$$198y<-4050y$$

Add 4050y to both sides.

$$198y+4050y<0$$

Combine 198y and 4050y to get 4248y.

$$4248y<0$$

Product of two numbers is <0 if one is >0 and the other is <0. Since 4248>0, y must be <0.

$$y<0$$