What is the answer to 4-3/(y+3)= 1/(y+2) ?

The answer to 4-3/(y+3)= 1/(y+2) is y=-3/2 ,y=-5/2

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4-3/(y+3)= 1/(y+2)

4 - \frac{3}{y + 3} = \frac{1}{y + 2}

y = - \frac{3}{2}, y = - \frac{5}{2}

Decimal Notation

y = - 1.5, y = - 2.5

Solution steps

4 - \frac{3}{y + 3} = \frac{1}{y + 2}

Multiply by LCM

4 (y + 3) (y + 2) - 3 (y + 2) = y + 3

Solve

4 (y + 3) (y + 2) - 3 (y + 2) = y + 3 : y = - \frac{3}{2}, y = - \frac{5}{2}

y = - \frac{3}{2}, y = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

y = - 3, y = - 2

Combine undefined points with solutions:

y = - \frac{3}{2}, y = - \frac{5}{2}

\frac{7}{x - 4} = \frac{8}{3}

\frac{x}{6} = \frac{6}{x}

\frac{3}{p - 6} = \frac{1}{p}

t, B = \frac{d}{1 - t}

\frac{3}{x} = \frac{12}{15}

What is the answer to 4-3/(y+3)= 1/(y+2) ?
The answer to 4-3/(y+3)= 1/(y+2) is y=-3/2 ,y=-5/2
Solve for y: 4-3/(y+3)= 1/(y+2)
The solution is y=-3/2 ,y=-5/2