To convert the equation y - 4 = 20 into a solution, what should be added to both sides?

To convert the equation y - 4 = 20 into a solution, what should be added to both sides?

• A. 4
• B. 20
• C. 24
• D. 16

Answer: (A)

To solve the equation \( y - 4 = 20 \) for \( y \), you want to isolate the variable on one side of the equation. The term \( -4 \) is currently being subtracted from \( y \). To eliminate this subtraction, you would need to add 4 to both sides of the equation. When you add 4 to both sides, the equation changes as follows: 1. The left side becomes \( y - 4 + 4 \), which simplifies to \( y \). 2. The right side becomes \( 20 + 4 \), which simplifies to \( 24 \). Thus, the equation after modifying becomes \( y = 24 \). This process effectively allows you to isolate \( y \) so that you can find its value easily. Therefore, adding 4 to both sides is the correct action to take to simplify the equation and find the solution for \( y \).

To solve the equation ( y - 4 = 20 ) for ( y ), you want to isolate the variable on one side of the equation. The term ( -4 ) is currently being subtracted from ( y ). To eliminate this subtraction, you would need to add 4 to both sides of the equation.

When you add 4 to both sides, the equation changes as follows:

1. The left side becomes ( y - 4 + 4 ), which simplifies to ( y ).

2. The right side becomes ( 20 + 4 ), which simplifies to ( 24 ).

Thus, the equation after modifying becomes ( y = 24 ). This process effectively allows you to isolate ( y ) so that you can find its value easily. Therefore, adding 4 to both sides is the correct action to take to simplify the equation and find the solution for ( y ).