Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. -5y - 10 + 20 = 5 -5y + 10 = 5 -5y = \boxed{} subtract 10 from both sides y = \boxed{} divide both sides by -5

Explanation:

Step1: Identify first step's operation

The first step goes from \(-5y - 10 + 20 = 5\) to \(-5y + 10 = 5\). We combine the constant terms: \(-10 + 20 = 10\), so this is Combine like terms (or Simplify the left - hand side by combining constants).

Step2: Solve for \(-5y\)

We have the equation \(-5y + 10 = 5\). To isolate \(-5y\), we subtract 10 from both sides (as per the given description "Subtract 10 from both sides").
Using the subtraction property of equality: \(-5y+10 - 10=5 - 10\)
Simplifying both sides, we get \(-5y=-5\)

Step3: Solve for \(y\)

We have the equation \(-5y = - 5\). To solve for \(y\), we divide both sides by \(-5\) (as per the given description "Divide both sides by \(-5\)").
Using the division property of equality: \(\frac{-5y}{-5}=\frac{-5}{-5}\)
Simplifying both sides, we get \(y = 1\)

Answer:

First missing description: Combine like terms (or Simplify the left - hand side by combining constants)
First missing term (for \(-5y\)): \(-5\)
Second missing term (for \(y\)): \(1\)