Solve 2/3y-22/5=53/5

$$\frac { 2 } { 3 } y - 2 \frac { 2 } { 5 } = 5 \frac { 3 } { 5 }$$

Solve for y

$$y=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$10y-3\left(2\times 5+2\right)=3\left(5\times 5+3\right)$$

Multiply 2 and 5 to get 10.

$$10y-3\left(10+2\right)=3\left(5\times 5+3\right)$$

Add 10 and 2 to get 12.

$$10y-3\times 12=3\left(5\times 5+3\right)$$

Multiply -3 and 12 to get -36.

$$10y-36=3\left(5\times 5+3\right)$$

Multiply 5 and 5 to get 25.

$$10y-36=3\left(25+3\right)$$

Add 25 and 3 to get 28.

$$10y-36=3\times 28$$

Multiply 3 and 28 to get 84.

$$10y-36=84$$

Add 36 to both sides.

$$10y=84+36$$

Add 84 and 36 to get 120.

$$10y=120$$

Divide both sides by 10.

$$y=\frac{120}{10}$$

Divide 120 by 10 to get 12.

$$y=12$$