[tex]5y + 7 = 14y + 7 \\ \\ 5y = 14y \ / \ cancel \ 7\\ \\ 5y - 14y = 0 \ / \ terms \ to \ one \ side\\ \\ -9y = 0 \ / \ simplify \\ \\ y = 0 \ / \ divide \ by \ -9 \\ \\ CHECK \\ \\ 5y + 7 = 14y + 7 \ / \ let \ y = 0 \\ \\ 5 \times 0 + 7 = 14 \times 0 + 7 \\ \\ Answer: \fbox {y = 0}[/tex]