2) Solve the equatior \( 2 y+3=3(y+7) \)

Certainly! Let's solve the equation step by step. **Given Equation:** \[ 2y + 3 = 3(y + 7) \] **Step 1: Expand the Right Side** First, distribute the 3 on the right side of the equation: \[ 3(y + 7) = 3 \times y + 3 \times 7 = 3y + 21 \] Now the equation looks like: \[ 2y + 3 = 3y + 21 \] **Step 2: Bring Like Terms Together** To isolate the variable \( y \), let's move all terms containing \( y \) to one side and constant terms to the other side. Subtract \( 2y \) from both sides: \[ 2y + 3 - 2y = 3y + 21 - 2y \] \[ 3 = y + 21 \] **Step 3: Isolate the Variable \( y \)** Now, subtract 21 from both sides to solve for \( y \): \[ 3 - 21 = y + 21 - 21 \] \[ -18 = y \] **Solution:** \[ y = -18 \] **Verification:** It's always a good practice to substitute the found value back into the original equation to ensure it's correct. Substitute \( y = -18 \) into the original equation: \[ 2(-18) + 3 = 3((-18) + 7) \] \[ -36 + 3 = 3(-11) \] \[ -33 = -33 \] Both sides are equal, confirming that \( y = -18 \) is the correct solution.