Solve 320+4y/86+y=3.8

$$\frac{ 320+4y }{ 86+y } = 3.8$$

Solve for y

$$y=34$$

Steps for Solving Linear Equation

Variable y cannot be equal to -86 since division by zero is not defined. Multiply both sides of the equation by y+86.

$$320+4y=3.8\left(y+86\right)$$

Use the distributive property to multiply 3.8 by y+86.

$$320+4y=3.8y+326.8$$

Subtract 3.8y from both sides.

$$320+4y-3.8y=326.8$$

Combine 4y and -3.8y to get 0.2y.

$$320+0.2y=326.8$$

Subtract 320 from both sides.

$$0.2y=326.8-320$$

Subtract 320 from 326.8 to get 6.8.

$$0.2y=6.8$$

Divide both sides by 0.2.

$$y=\frac{6.8}{0.2}$$

Expand \frac{6.8}{0.2} by multiplying both numerator and the denominator by 10.

$$y=\frac{68}{2}$$

Divide 68 by 2 to get 34.

$$y=34$$