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

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

Solve for y

$$y = \frac{21}{11} = 1\frac{10}{11} \approx 1.909090909$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,2,4.

$$8y+6\left(y-3\right)=3\left(y+1\right)$$

Use the distributive property to multiply 6 by y-3.

$$8y+6y-18=3\left(y+1\right)$$

Combine 8y and 6y to get 14y.

$$14y-18=3\left(y+1\right)$$

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

$$14y-18=3y+3$$

Subtract 3y from both sides.

$$14y-18-3y=3$$

Combine 14y and -3y to get 11y.

$$11y-18=3$$

Add 18 to both sides.

$$11y=3+18$$

Add 3 and 18 to get 21.

$$11y=21$$

Divide both sides by 11.

$$y=\frac{21}{11}$$