Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. -7y + 14 = 7 -7y = -7 y = add 14 to both sides subtract 14 from both sides multiply both sides by 14 divide both sides by 14 apply the distributive property

Explanation:

Step1: Determine the operation

To get from \(-7y + 14 = 7\) to \(-7y = -7\), we need to eliminate the \(+14\) on the left side. The inverse operation of addition is subtraction, so we subtract 14 from both sides. Mathematically, \(-7y + 14 - 14 = 7 - 14\), which simplifies to \(-7y = -7\). So the operation is "Subtract 14 from both sides".

Step2: Solve for \(y\)

Now we have \(-7y = -7\). To solve for \(y\), we divide both sides by \(-7\) (since the coefficient of \(y\) is \(-7\)). Using the formula \(\frac{-7y}{-7}=\frac{-7}{-7}\), we get \(y = 1\).

Answer:

The operation is "Subtract 14 from both sides" and \(y = 1\).