To simplify the equation \( y = 5 + 3x - 7 - 2x \), we first combine like terms.
- Combine the constant terms: \( 5 - 7 = -2 \).
- Combine the \( x \) terms: \( 3x - 2x = 1x \) or simply \( x \).
So the equation simplifies to:
\[ y = x - 2 \]
This is now in slope-intercept form \( (y = mx + b) \), where \( m = 1 \) and \( b = -2 \).
Final answer:
\[ y = x - 2 \]