Solve y/6+2y+3/8=1

$$\frac { y } { 6 } + \frac { 2 y + 3 } { 8 } = 1$$

Solve for y

$$y = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 6,8.

$$4y+3\left(2y+3\right)=24$$

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

$$4y+6y+9=24$$

Combine 4y and 6y to get 10y.

$$10y+9=24$$

Subtract 9 from both sides.

$$10y=24-9$$

Subtract 9 from 24 to get 15.

$$10y=15$$

Divide both sides by 10.

$$y=\frac{15}{10}$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$y=\frac{3}{2}$$