NO
On $25,000/yr, the typical $264,903 home in Syracuse, NY needs $78,100/yr ($1,822/mo). Your gap: $-53,100 — housing would be 87.5% of your gross income.
The math
264,903 price − 10% down (26,490) = 238,413 loan
30-yr fixed at 6.47% on 238,413 = 1,502/mo principal+interest
+ 320/mo est. taxes+insurance (1.45%/yr of value — national placeholder)
1,822/mo PITI ÷ 0.28 = 6,508/mo → 78,100/yr required
against Zillow ZHVI 2026-05 and the 6.47% FRED 30-yr rate (2026-06-18).
What salary WOULD clear Syracuse, NY?
You need about $78,100/yr for the typical home. That's $53,100 more than $25,000.