Solve 3(-3y+1/2)+2y=1

$$3 ( \frac { - 3 y + 1 } { 2 } ) + 2 y = 1$$

Solve for y

$$y=\frac{1}{5}=0.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$3\left(-3y+1\right)+4y=2$$

Use the distributive property to multiply 3 by -3y+1.

$$-9y+3+4y=2$$

Combine -9y and 4y to get -5y.

$$-5y+3=2$$

Subtract 3 from both sides.

$$-5y=2-3$$

Subtract 3 from 2 to get -1.

$$-5y=-1$$

Divide both sides by -5.

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

Fraction \frac{-1}{-5} can be simplified to \frac{1}{5} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{1}{5}$$