state the coordinates of the vertex for the given parabola y

state the coordinates of the vertex for the given parabola: y^2+4y-10+2x=0 Please show your steps.

y^2+4y-10+2x=0

standard equation of parabola in vertex form is

(y-k)^2 = a (x - h)

y^2+4y = -2x + 10

( y + 2)^2 - 4 = -2x+10 +4

adding 4 on both sides

(y+2)^2 = -2x + 14

(y+2)^2 = -2(x-7)

therefore, vertex is ( 7,-2)