Solve for y where y is a real number Square root of y 27 y

Solve for y, where y is a real number. Square root of -y + 27 = y + 3 (If there is more than one solution, separate them with commas.)

Solution

(-y+27) =y+3

squaring on both sides

(-y+27) =(y+3)²

-y+27 =y²+6y+9

y²+7y-18=0

y²+9y-2y-18=0

y(y+9)-2(y+9)=0

(y+9)(y-2)=0

=>y=-9 , y=2 are the solutions