How many solutions does the equation have? 7vert yvert =0 no solution one solution two solutions

## Step 1<br />The given equation is \(7|y|=0\). The absolute value of a number is always non-negative. This means that the absolute value of any number can be either positive or zero, but never negative.<br /><br />## Step 2<br />In the given equation, the absolute value of \(y\) is multiplied by 7 and equated to zero. This means that the absolute value of \(y\) must be zero.<br /><br />## Step 3<br />The only number whose absolute value is zero is zero itself. Therefore, \(y\) must be zero.<br /><br />## Step 4<br />Since there is only one value of \(y\) that satisfies the equation, the equation has only one solution.