Solve 3/5y+3=11+1/5y

$$\frac { 3 } { 5 } y + 3 = 11 + \frac { 1 } { 5 } y$$

Solve for y

$$y=20$$

Steps for Solving Linear Equation

Subtract \frac{1}{5}y from both sides.

$$\frac{3}{5}y+3-\frac{1}{5}y=11$$

Combine \frac{3}{5}y and -\frac{1}{5}y to get \frac{2}{5}y.

$$\frac{2}{5}y+3=11$$

Subtract 3 from both sides.

$$\frac{2}{5}y=11-3$$

Subtract 3 from 11 to get 8.

$$\frac{2}{5}y=8$$

Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.

$$y=8\times \frac{5}{2}$$

Express 8\times \frac{5}{2} as a single fraction.

$$y=\frac{8\times 5}{2}$$

Multiply 8 and 5 to get 40.

$$y=\frac{40}{2}$$

Divide 40 by 2 to get 20.

$$y=20$$