Example Question - expanding equation

Solving a Linear Equation

To solve the equation \( y + 6 = 5(x - 7) \), we shall first expand the right side of the equation by distributing the 5 into the parentheses: \[ y + 6 = 5x - 35 \] Next, to solve for \( y \), we want to isolate \( y \) on one side of the equation. We can do this by subtracting 6 from both sides of the equation: \[ y = 5x - 35 - 6 \] \[ y = 5x - 41 \] Now the equation is solved for \( y \) in terms of \( x \). So the final expression is \( y = 5x - 41 \).