Solve 4.8+y/y=8.4/5.6

$$\frac{ 4.8+y }{ y } = \frac{ 8.4 }{ 5.6 }$$

Solve for y

$$y=9.6$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$4.8+y=y\times \frac{8.4}{5.6}$$

Expand \frac{8.4}{5.6} by multiplying both numerator and the denominator by 10.

$$4.8+y=y\times \frac{84}{56}$$

Reduce the fraction \frac{84}{56} to lowest terms by extracting and canceling out 28.

$$4.8+y=y\times \frac{3}{2}$$

Subtract y\times \frac{3}{2} from both sides.

$$4.8+y-y\times \frac{3}{2}=0$$

Combine y and -y\times \frac{3}{2} to get -\frac{1}{2}y.

$$4.8-\frac{1}{2}y=0$$

Subtract 4.8 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{2}y=-4.8$$

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$y=-4.8\left(-2\right)$$

Multiply -4.8 and -2 to get 9.6.

$$y=9.6$$