New York State Route 40 (NY 40) is a north–south state highway in eastern New York in the United States. It is 54.67 miles (87.98 km) long and runs from NY 7 in the city of Troy north to NY 22 in the town of Granville. NY 40 also passes through the villages of Schaghticoke and Argyle and enters the vicinity of the village of Greenwich. It intersects three east–west highways of note: NY 67 just outside Schaghticoke, NY 29 west of Greenwich, and NY 149 in the hamlet of Hartford. Incidentally, NY 40 has overlaps with all three routes.

New York State Route 7 (NY 7) is a 180.30-mile-long (290.16 km) state highway in New York in the United States. The highway runs from Pennsylvania Route 29 (PA 29) at the Pennsylvania state line south of Binghamton in Broome County, New York, to Vermont Route 9 (VT 9) at the Vermont state line east of Hoosick in Rensselaer County. Most of the road runs along the Susquehanna Valley, closely paralleling Interstate 88 (I-88) throughout that road's length. Portions of the highway route near the cities of Binghamton, Schenectady, and Troy date back to the early 19th century.