What is -4/5-2/3 (y-9)>= 3/5 (y+15) ?

The solution to -4/5-2/3 (y-9)>= 3/5 (y+15) is y<=-3

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-4/5-2/3 (y-9)>= 3/5 (y+15)

- \frac{4}{5} - \frac{2}{3} (y - 9) \geq \frac{3}{5} (y + 15)

y \leq - 3

Solution steps

- \frac{4}{5} - \frac{2}{3} (y - 9) \geq \frac{3}{5} (y + 15)

Expand

- \frac{4}{5} - \frac{2}{3} (y - 9) : \frac{26}{5} - \frac{2}{3} y

Expand

\frac{3}{5} (y + 15) : \frac{3}{5} y + 9

\frac{26}{5} - \frac{2}{3} y \geq \frac{3}{5} y + 9

Move

\frac{26}{5}

to the right side

- \frac{2}{3} y \geq \frac{19}{5} + \frac{3}{5} y

Move

\frac{3}{5} y

to the left side

- \frac{19}{15} y \geq \frac{19}{5}

Multiply both sides by

- 1

\frac{19}{15} y \leq - \frac{19}{5}

Multiply both sides by

15

19 y \leq - 57

Divide both sides by

19

y \leq - 3

\frac{4}{3} - 2

x^{2} + 11 x + 30 > 0

5 (x + 20) = 7 x + 30

2 x^{2} - 50

85 + 35

What is -4/5-2/3 (y-9)>= 3/5 (y+15) ?
The solution to -4/5-2/3 (y-9)>= 3/5 (y+15) is y<=-3