What is the answer to (9.99-0.99)/((99y-9.9))=9.09 ?

The answer to (9.99-0.99)/((99y-9.9))=9.09 is y=0.1100010001

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(9.99-0.99)/((99y-9.9))=9.09

\frac{9.99 - 0.99}{( 99 y - 9.9 )} = 9.09

y = 0.1100010001

Solution steps

\frac{9.99 - 0.99}{( 99 y - 9.9 )} = 9.09

Simplify

\frac{9.99 - 0.99}{99 y - 9.9} : \frac{9}{99 y - 9.9}

\frac{9}{99 y - 9.9} = 9.09

Multiply both sides by

99 y - 9.9

9 = 9.09 (99 y - 9.9)

Switch sides

9.09 (99 y - 9.9) = 9

Divide both sides by

9.09

99 y - 9.9 = 0.99009 \dots

Move

9.9

to the right side

99 y = 10.89009 \dots

Divide both sides by

99

y = 0.1100010001

Verify Solutions

Find undefined (singularity) points:

y = 0.1

Combine undefined points with solutions:

y = 0.1100010001

\frac{x ^{2} + 16 x ^{2}}{( x - 4 ) ^{2}} = 180

\frac{( 6 - x )}{( x ^{2} - 4 )} = \frac{2 + x}{( x + 2 )}

\frac{( ( 2 x - 3 ) ( x - 1 ) - ( 2 x ^{2} + x + 1 ) )}{( 2 - x )} = \frac{7}{2}

\frac{1}{x} = \frac{1}{4} + \frac{1}{6}

2 (\frac{x + 1}{x})^{2} - 3 (\frac{x - 1}{x}) - 8 = 0

What is the answer to (9.99-0.99)/((99y-9.9))=9.09 ?
The answer to (9.99-0.99)/((99y-9.9))=9.09 is y=0.1100010001
Solve for y: (9.99-0.99)/((99y-9.9))=9.09
The solution is y=0.1100010001