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

The answer to 4-3/(y+2)=-3/(y+3) is y=-3/2 ,y=-7/2

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

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

y = - \frac{3}{2}, y = - \frac{7}{2}

Decimal Notation

y = - 1.5, y = - 3.5

Solution steps

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

Multiply by LCM

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

Solve

4 (y + 2) (y + 3) - 3 (y + 3) = - 3 (y + 2) : y = - \frac{3}{2}, y = - \frac{7}{2}

y = - \frac{3}{2}, y = - \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

y = - 2, y = - 3

Combine undefined points with solutions:

y = - \frac{3}{2}, y = - \frac{7}{2}

1 + \frac{3}{x ^{2}} = \frac{1}{x}

\frac{4 x}{5} = \frac{1}{3 x + 2}

- \frac{20}{( x - 2 ) ^{2}} = - 5

\frac{1}{u} + \frac{2}{0.25} = 3

\frac{x ^{2} + 4 x + 3}{( x + 2 ) ^{2}} = 0

What is the answer to 4-3/(y+2)=-3/(y+3) ?
The answer to 4-3/(y+2)=-3/(y+3) is y=-3/2 ,y=-7/2
Solve for y: 4-3/(y+2)=-3/(y+3)
The solution is y=-3/2 ,y=-7/2