Solve 100=8.0(10+y/9+2/9)*0.98

$$100 = 8.0 ( 10 + \frac { y } { 9 } + \frac { 2 } { 9 } ) \times 0.98$$

Solve for y

$$y = \frac{1117}{49} = 22\frac{39}{49} \approx 22.795918367$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9.

$$900=72\left(10+\frac{y}{9}+\frac{2}{9}\right)\times 0.98$$

Convert 10 to fraction \frac{90}{9}.

$$900=72\left(\frac{90}{9}+\frac{y}{9}+\frac{2}{9}\right)\times 0.98$$

Since \frac{90}{9} and \frac{2}{9} have the same denominator, add them by adding their numerators.

$$900=72\left(\frac{90+2}{9}+\frac{y}{9}\right)\times 0.98$$

Add 90 and 2 to get 92.

$$900=72\left(\frac{92}{9}+\frac{y}{9}\right)\times 0.98$$

Since \frac{92}{9} and \frac{y}{9} have the same denominator, add them by adding their numerators.

$$900=72\times \frac{92+y}{9}\times 0.98$$

Multiply 72 and 0.98 to get 70.56.

$$900=70.56\times \frac{92+y}{9}$$

Divide each term of 92+y by 9 to get \frac{92}{9}+\frac{1}{9}y.

$$900=70.56\left(\frac{92}{9}+\frac{1}{9}y\right)$$

Use the distributive property to multiply 70.56 by \frac{92}{9}+\frac{1}{9}y.

$$900=70.56\times \frac{92}{9}+70.56\times \frac{1}{9}y$$

Convert decimal number 70.56 to fraction \frac{7056}{100}. Reduce the fraction \frac{7056}{100} to lowest terms by extracting and canceling out 4.

$$900=\frac{1764}{25}\times \frac{92}{9}+70.56\times \frac{1}{9}y$$

Multiply \frac{1764}{25} times \frac{92}{9} by multiplying numerator times numerator and denominator times denominator.

$$900=\frac{1764\times 92}{25\times 9}+70.56\times \frac{1}{9}y$$

Do the multiplications in the fraction \frac{1764\times 92}{25\times 9}.

$$900=\frac{162288}{225}+70.56\times \frac{1}{9}y$$

Reduce the fraction \frac{162288}{225} to lowest terms by extracting and canceling out 9.

$$900=\frac{18032}{25}+70.56\times \frac{1}{9}y$$

Convert decimal number 70.56 to fraction \frac{7056}{100}. Reduce the fraction \frac{7056}{100} to lowest terms by extracting and canceling out 4.

$$900=\frac{18032}{25}+\frac{1764}{25}\times \frac{1}{9}y$$

Multiply \frac{1764}{25} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$900=\frac{18032}{25}+\frac{1764\times 1}{25\times 9}y$$

Do the multiplications in the fraction \frac{1764\times 1}{25\times 9}.

$$900=\frac{18032}{25}+\frac{1764}{225}y$$

Reduce the fraction \frac{1764}{225} to lowest terms by extracting and canceling out 9.

$$900=\frac{18032}{25}+\frac{196}{25}y$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{18032}{25}+\frac{196}{25}y=900$$

Subtract \frac{18032}{25} from both sides.

$$\frac{196}{25}y=900-\frac{18032}{25}$$

Convert 900 to fraction \frac{22500}{25}.

$$\frac{196}{25}y=\frac{22500}{25}-\frac{18032}{25}$$

Since \frac{22500}{25} and \frac{18032}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{196}{25}y=\frac{22500-18032}{25}$$

Subtract 18032 from 22500 to get 4468.

$$\frac{196}{25}y=\frac{4468}{25}$$

Multiply both sides by \frac{25}{196}, the reciprocal of \frac{196}{25}.

$$y=\frac{4468}{25}\times \frac{25}{196}$$

Multiply \frac{4468}{25} times \frac{25}{196} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{4468\times 25}{25\times 196}$$

Cancel out 25 in both numerator and denominator.

$$y=\frac{4468}{196}$$

Reduce the fraction \frac{4468}{196} to lowest terms by extracting and canceling out 4.

$$y=\frac{1117}{49}$$