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

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

Solve for y

$$y=-10$$

Steps for Solving Linear Equation

Add \frac{3}{5}y to both sides.

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

Combine \frac{1}{5}y and \frac{3}{5}y to get \frac{4}{5}y.

$$\frac{4}{5}y+11=3$$

Subtract 11 from both sides.

$$\frac{4}{5}y=3-11$$

Subtract 11 from 3 to get -8.

$$\frac{4}{5}y=-8$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$y=-8\times \frac{5}{4}$$

Express -8\times \frac{5}{4} as a single fraction.

$$y=\frac{-8\times 5}{4}$$

Multiply -8 and 5 to get -40.

$$y=\frac{-40}{4}$$

Divide -40 by 4 to get -10.

$$y=-10$$