Question

Use algebra to solve the proportion.

$\frac{y}{4}=\frac{42}{28}$

Short answer

The solution is $y=6$.

Step-by-step solution

Step 1.  Given

The given proportion is$\frac{y}{4}=\frac{42}{28}.$

Step 2.  To determine

We have to solve the proportion using algebra.

Step 3.  Calculation 

Solve the given proportion.

$\begin{array}{c}\frac{y}{4}=\frac{42}{28}\\ \frac{y}{4}\cdot 4=\frac{42}{28}\cdot 4\left[\text{multiplyeachsideby4}\right]\\ y=\frac{168}{28}\left[\text{simplify}\right]\\ =6\left[\text{divide}\right]\end{array}$

So, the solution is $y=6$.