What is the answer to |y+1/2 |=| 1/3 y+1/8 | ?

The answer to |y+1/2 |=| 1/3 y+1/8 | is y=-9/16 \lor y=-15/32

Solve for y: |y+1/2 |=| 1/3 y+1/8 |

The solution is y=-9/16 \lor y=-15/32

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y + \frac{1}{2} = \frac{1}{3} y + \frac{1}{8}

y = - \frac{9}{16} or y = - \frac{15}{32}

Decimal Notation

y = - 0.5625, y = - 0.46875

Solution steps

y + \frac{1}{2} = \frac{1}{3} y + \frac{1}{8}

Find positive and negative intervals

y < - \frac{1}{2}, - \frac{1}{2} \leq y < - \frac{3}{8}, y \geq - \frac{3}{8}

Solve the inequality for each interval

y = - \frac{9}{16} or y = - \frac{15}{32} or No Solution

y = - \frac{9}{16} or y = - \frac{15}{32}

y^{2} + 9 y + 8

3 (4 y + 9) = 39

\frac{2 π}{18}

3 x - 2 = 6 x + 5

\frac{h}{- 14} = \frac{5}{- 2}

What is the answer to |y+1/2 |=| 1/3 y+1/8 | ?
The answer to |y+1/2 |=| 1/3 y+1/8 | is y=-9/16 \lor y=-15/32
Solve for y: |y+1/2 |=| 1/3 y+1/8 |
The solution is y=-9/16 \lor y=-15/32