Question

solve the equation.
y + 3 = -y + 9
y = 1
y = 3
y = 6
y = 9

Explanation:

Step1: Add \( y \) to both sides

To get all the \( y \)-terms on one side, we add \( y \) to both sides of the equation \( y + 3=-y + 9 \). This gives us \( y + y+ 3=-y + y+ 9 \), which simplifies to \( 2y+3 = 9 \).

Step2: Subtract 3 from both sides

Next, we want to isolate the term with \( y \). So we subtract 3 from both sides: \( 2y+3 - 3=9 - 3 \), which simplifies to \( 2y=6 \).

Step3: Divide by 2

Finally, to solve for \( y \), we divide both sides by 2: \( \frac{2y}{2}=\frac{6}{2} \), which gives \( y = 3 \).

Answer:

\( y = 3 \) (corresponding to the option: \( y = 3 \))