Solve 6y+13/2+y+3/3=5/6

$$\frac { 6 y + 13 } { 2 } + \frac { y + 3 } { 3 } = \frac { 5 } { 6 }$$

Solve for y

$$y=-2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3,6.

$$3\left(6y+13\right)+2\left(y+3\right)=5$$

Use the distributive property to multiply 3 by 6y+13.

$$18y+39+2\left(y+3\right)=5$$

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

$$18y+39+2y+6=5$$

Combine 18y and 2y to get 20y.

$$20y+39+6=5$$

Add 39 and 6 to get 45.

$$20y+45=5$$

Subtract 45 from both sides.

$$20y=5-45$$

Subtract 45 from 5 to get -40.

$$20y=-40$$

Divide both sides by 20.

$$y=\frac{-40}{20}$$

Divide -40 by 20 to get -2.

$$y=-2$$