Solve 7/5y=3-1/5

$$\frac { 7 } { 5 } y = 3 - \frac { 1 } { 5 }$$

Solve for y

$$y=2$$

Steps for Solving Linear Equation

Convert 3 to fraction \frac{15}{5}.

$$\frac{7}{5}y=\frac{15}{5}-\frac{1}{5}$$

Since \frac{15}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{5}y=\frac{15-1}{5}$$

Subtract 1 from 15 to get 14.

$$\frac{7}{5}y=\frac{14}{5}$$

Multiply both sides by \frac{5}{7}, the reciprocal of \frac{7}{5}.

$$y=\frac{14}{5}\times \frac{5}{7}$$

Multiply \frac{14}{5} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{14\times 5}{5\times 7}$$

Cancel out 5 in both numerator and denominator.

$$y=\frac{14}{7}$$

Divide 14 by 7 to get 2.

$$y=2$$