Solve 4(y+2)/5=7+5y/13

$$\frac { 4 ( y + 2 ) } { 5 } = 7 + \frac { 5 y } { 13 }$$

Solve for y

$$y=13$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 65, the least common multiple of 5,13.

$$13\times 4\left(y+2\right)=455+5\times 5y$$

Multiply 13 and 4 to get 52.

$$52\left(y+2\right)=455+5\times 5y$$

Use the distributive property to multiply 52 by y+2.

$$52y+104=455+5\times 5y$$

Multiply 5 and 5 to get 25.

$$52y+104=455+25y$$

Subtract 25y from both sides.

$$52y+104-25y=455$$

Combine 52y and -25y to get 27y.

$$27y+104=455$$

Subtract 104 from both sides.

$$27y=455-104$$

Subtract 104 from 455 to get 351.

$$27y=351$$

Divide both sides by 27.

$$y=\frac{351}{27}$$

Divide 351 by 27 to get 13.

$$y=13$$