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5) $y + 415 = 523$ 6) $a - 85 = 216$

Question

  1. $y + 415 = 523$
  2. $a - 85 = 216$

Explanation:

Response
Problem 5: Solve for \( y \) in \( y + 415 = 523 \)

Step 1: Isolate \( y \)

To solve for \( y \), we subtract 415 from both sides of the equation.
\( y + 415 - 415 = 523 - 415 \)

Step 2: Calculate the result

Simplify both sides.
\( y = 523 - 415 \)
\( y = 108 \)

Step 1: Isolate \( a \)

To solve for \( a \), we add 85 to both sides of the equation.
\( a - 85 + 85 = 216 + 85 \)

Step 2: Calculate the result

Simplify both sides.
\( a = 216 + 85 \)
\( a = 301 \)

Answer:

\( y = 108 \)

Problem 6: Solve for \( a \) in \( a - 85 = 216 \)