Solve 2y+5/8+y/6=3.5+y/12

$$\frac { 2 y + 5 } { 8 } + \frac { y } { 6 } = \frac { 3.5 + y } { 12 }$$

Solve for y

$$y=-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,6,12.

$$3\left(2y+5\right)+4y=2\left(3.5+y\right)$$

Use the distributive property to multiply 3 by 2y+5.

$$6y+15+4y=2\left(3.5+y\right)$$

Combine 6y and 4y to get 10y.

$$10y+15=2\left(3.5+y\right)$$

Use the distributive property to multiply 2 by 3.5+y.

$$10y+15=7+2y$$

Subtract 2y from both sides.

$$10y+15-2y=7$$

Combine 10y and -2y to get 8y.

$$8y+15=7$$

Subtract 15 from both sides.

$$8y=7-15$$

Subtract 15 from 7 to get -8.

$$8y=-8$$

Divide both sides by 8.

$$y=\frac{-8}{8}$$

Divide -8 by 8 to get -1.

$$y=-1$$