Step 1 :Simplify each equation:
Step 2 :\(1.\) \(13y + 2 - 2y = 10y + 3 - y\)
Step 3 :\(2.\) \(9(3y + 7) - 2 = 3(-9y + 9)\)
Step 4 :\(3.\) \(32.1y + 3.1 + 2.4y - 8.2 = 34.5y - 5.1\)
Step 5 :\(4.\) \(5(2.2y + 3.4) = 5(y - 2) + 6y\)
Step 6 :Check for contradictions:
Step 7 :The third equation simplifies to \(0 = 1\), which is a contradiction.
Step 8 :\boxed{\text{The third equation (32.1 y+3.1+2.4 y-8.2=34.5 y-5.1) has no solution.}}