Solve 2y-1/3=y+2/4-1

$$\frac { 2 y - 1 } { 3 } = \frac { y + 2 } { 4 } - 1$$

Solve for y

$$y=-\frac{2}{5}=-0.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\left(2y-1\right)=3\left(y+2\right)-12$$

Use the distributive property to multiply 4 by 2y-1.

$$8y-4=3\left(y+2\right)-12$$

Use the distributive property to multiply 3 by y+2.

$$8y-4=3y+6-12$$

Subtract 12 from 6 to get -6.

$$8y-4=3y-6$$

Subtract 3y from both sides.

$$8y-4-3y=-6$$

Combine 8y and -3y to get 5y.

$$5y-4=-6$$

Add 4 to both sides.

$$5y=-6+4$$

Add -6 and 4 to get -2.

$$5y=-2$$

Divide both sides by 5.

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

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

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