Solve 15(y-1/5)-2(6+y)=3(4y-5)+ye

$$15 ( y - 1 / 5 ) - 2 ( 6 + y ) = 3 ( 4 y - 5 ) + y e$$

Solve for y

$$y=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 15 by y-\frac{1}{5}.

$$15y+15\left(-\frac{1}{5}\right)-2\left(6+y\right)=3\left(4y-5\right)+ye$$

Express 15\left(-\frac{1}{5}\right) as a single fraction.

$$15y+\frac{15\left(-1\right)}{5}-2\left(6+y\right)=3\left(4y-5\right)+ye$$

Multiply 15 and -1 to get -15.

$$15y+\frac{-15}{5}-2\left(6+y\right)=3\left(4y-5\right)+ye$$

Divide -15 by 5 to get -3.

$$15y-3-2\left(6+y\right)=3\left(4y-5\right)+ye$$

Use the distributive property to multiply -2 by 6+y.

$$15y-3-12-2y=3\left(4y-5\right)+ye$$

Subtract 12 from -3 to get -15.

$$15y-15-2y=3\left(4y-5\right)+ye$$

Combine 15y and -2y to get 13y.

$$13y-15=3\left(4y-5\right)+ye$$

Use the distributive property to multiply 3 by 4y-5.

$$13y-15=12y-15+ye$$

Subtract 12y from both sides.

$$13y-15-12y=-15+ye$$

Combine 13y and -12y to get y.

$$y-15=-15+ye$$

Subtract ye from both sides.

$$y-15-ye=-15$$

Add 15 to both sides.

$$y-ye=-15+15$$

Add -15 and 15 to get 0.

$$y-ye=0$$

Combine all terms containing y.

$$\left(1-e\right)y=0$$

Divide 0 by 1-e.

$$y=0$$