Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions\\(\frac{y}{7}-16 = -2\\)\\(\frac{y}{7}=square\\)\\(y=square\\)

Explanation:

Step1: Add 16 to both sides

To isolate $\frac{y}{7}$, we add 16 to both sides of the equation $\frac{y}{7}-16 = -2$. Using the addition property of equality, we get $\frac{y}{7}-16 + 16=-2 + 16$. Simplifying both sides, $-16 + 16 = 0$ and $-2+16 = 14$, so $\frac{y}{7}=14$.

Step2: Multiply both sides by 7

To solve for $y$, we multiply both sides of the equation $\frac{y}{7}=14$ by 7. Using the multiplication property of equality, we have $\frac{y}{7}\times7 = 14\times7$. Simplifying, $\frac{y}{7}\times7=y$ and $14\times7 = 98$, so $y = 98$.

Answer:

For the first missing term (in $\frac{y}{7}=\square$), the value is $14$ (the operation is "Add 16 to both sides"). For the second missing term (in $y=\square$), the value is $98$ (the operation is "Multiply both sides by 7"). So the filled equation steps are $\frac{y}{7}=14$ (by adding 16 to both sides) and $y = 98$ (by multiplying both sides by 7).