Solve 2y+4/6+2(y-1)/9=y-3/3

$$\frac { 2 y + 4 } { 6 } + \frac { 2 ( y - 1 ) } { 9 } = \frac { y - 3 } { 3 }$$

Solve for y

$$y = -\frac{13}{2} = -6\frac{1}{2} = -6.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 6,9,3.

$$3\left(2y+4\right)+2\times 2\left(y-1\right)=6\left(y-3\right)$$

Use the distributive property to multiply 3 by 2y+4.

$$6y+12+2\times 2\left(y-1\right)=6\left(y-3\right)$$

Multiply 2 and 2 to get 4.

$$6y+12+4\left(y-1\right)=6\left(y-3\right)$$

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

$$6y+12+4y-4=6\left(y-3\right)$$

Combine 6y and 4y to get 10y.

$$10y+12-4=6\left(y-3\right)$$

Subtract 4 from 12 to get 8.

$$10y+8=6\left(y-3\right)$$

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

$$10y+8=6y-18$$

Subtract 6y from both sides.

$$10y+8-6y=-18$$

Combine 10y and -6y to get 4y.

$$4y+8=-18$$

Subtract 8 from both sides.

$$4y=-18-8$$

Subtract 8 from -18 to get -26.

$$4y=-26$$

Divide both sides by 4.

$$y=\frac{-26}{4}$$

Reduce the fraction \frac{-26}{4} to lowest terms by extracting and canceling out 2.

$$y=-\frac{13}{2}$$