Solve 2(3-y/5)=y

$$2 ( 3 - \frac { y } { 5 } ) = y$$

Solve for y

$$y = \frac{30}{7} = 4\frac{2}{7} \approx 4.285714286$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3-\frac{y}{5}.

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

Express 2\left(-\frac{y}{5}\right) as a single fraction.

$$6+\frac{-2y}{5}=y$$

Subtract y from both sides.

$$6+\frac{-2y}{5}-y=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$\frac{-2y}{5}-y=-6$$

Multiply both sides of the equation by 5.

$$-2y-5y=-30$$

Combine -2y and -5y to get -7y.

$$-7y=-30$$

Divide both sides by -7.

$$y=\frac{-30}{-7}$$

Fraction \frac{-30}{-7} can be simplified to \frac{30}{7} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{30}{7}$$