We will justify the steps and solve the equation
Statement Justification
Step 1. 5(2y-3)-4y=8-2y-15. Given
Step 2. 10y-15-4y=8-2y-15. Distributive Property
Step 3. 6y-15=23-2y. Combining like terms
Step 4. 6y-15+15=23-2y+15. Addition property of equality
Step 5. 6y+0=38-2y Combining like terms
Step 6. 6y=38-2y Additive identity
Step 7. 6y+2y=38-2y+2y.