Solve 8/1*3/4y-8/1*1/2=frac{8}{1}*frac{7}{84}+frac{8}{1}*frac{1}{2}

$$\frac { 8 } { 1 } \cdot \frac { 3 } { 4 } y - \frac { 8 } { 1 } \cdot \frac { 1 } { 2 } = \frac { 8 } { 1 } \cdot \frac { 7 } { 84 } + \frac { 8 } { 1 } \cdot \frac { 1 } { 2 }$$

Solve for y

$$y = \frac{13}{9} = 1\frac{4}{9} \approx 1.444444444$$

Steps for Solving Linear Equation

Anything divided by one gives itself.

$$8\times \frac{3}{4}y-\frac{8}{1}\times \frac{1}{2}=\frac{8}{1}\times \frac{7}{84}+\frac{8}{1}\times \frac{1}{2}$$

Express 8\times \frac{3}{4} as a single fraction.

$$\frac{8\times 3}{4}y-\frac{8}{1}\times \frac{1}{2}=\frac{8}{1}\times \frac{7}{84}+\frac{8}{1}\times \frac{1}{2}$$

Multiply 8 and 3 to get 24.

$$\frac{24}{4}y-\frac{8}{1}\times \frac{1}{2}=\frac{8}{1}\times \frac{7}{84}+\frac{8}{1}\times \frac{1}{2}$$

Divide 24 by 4 to get 6.

$$6y-\frac{8}{1}\times \frac{1}{2}=\frac{8}{1}\times \frac{7}{84}+\frac{8}{1}\times \frac{1}{2}$$

Anything divided by one gives itself.

$$6y-8\times \frac{1}{2}=\frac{8}{1}\times \frac{7}{84}+\frac{8}{1}\times \frac{1}{2}$$

Multiply 8 and \frac{1}{2} to get \frac{8}{2}.

$$6y-\frac{8}{2}=\frac{8}{1}\times \frac{7}{84}+\frac{8}{1}\times \frac{1}{2}$$

Divide 8 by 2 to get 4.

$$6y-4=\frac{8}{1}\times \frac{7}{84}+\frac{8}{1}\times \frac{1}{2}$$

Anything divided by one gives itself.

$$6y-4=8\times \frac{7}{84}+\frac{8}{1}\times \frac{1}{2}$$

Reduce the fraction \frac{7}{84} to lowest terms by extracting and canceling out 7.

$$6y-4=8\times \frac{1}{12}+\frac{8}{1}\times \frac{1}{2}$$

Multiply 8 and \frac{1}{12} to get \frac{8}{12}.

$$6y-4=\frac{8}{12}+\frac{8}{1}\times \frac{1}{2}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$6y-4=\frac{2}{3}+\frac{8}{1}\times \frac{1}{2}$$

Anything divided by one gives itself.

$$6y-4=\frac{2}{3}+8\times \frac{1}{2}$$

Multiply 8 and \frac{1}{2} to get \frac{8}{2}.

$$6y-4=\frac{2}{3}+\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$6y-4=\frac{2}{3}+4$$

Convert 4 to fraction \frac{12}{3}.

$$6y-4=\frac{2}{3}+\frac{12}{3}$$

Since \frac{2}{3} and \frac{12}{3} have the same denominator, add them by adding their numerators.

$$6y-4=\frac{2+12}{3}$$

Add 2 and 12 to get 14.

$$6y-4=\frac{14}{3}$$

Add 4 to both sides.

$$6y=\frac{14}{3}+4$$

Convert 4 to fraction \frac{12}{3}.

$$6y=\frac{14}{3}+\frac{12}{3}$$

Since \frac{14}{3} and \frac{12}{3} have the same denominator, add them by adding their numerators.

$$6y=\frac{14+12}{3}$$

Add 14 and 12 to get 26.

$$6y=\frac{26}{3}$$

Divide both sides by 6.

$$y=\frac{\frac{26}{3}}{6}$$

Express \frac{\frac{26}{3}}{6} as a single fraction.

$$y=\frac{26}{3\times 6}$$

Multiply 3 and 6 to get 18.

$$y=\frac{26}{18}$$

Reduce the fraction \frac{26}{18} to lowest terms by extracting and canceling out 2.

$$y=\frac{13}{9}$$