-y^2+28y-27=

Solution for -y^2+28y-27= equation:

Simplifying
-1y2 + 28y + -27 = 0

Reorder the terms:
-27 + 28y + -1y2 = 0

Solving
-27 + 28y + -1y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-27 + y)(1 + -1y) = 0

Subproblem 1
Set the factor '(-27 + y)' equal to zero and attempt to solve:

Simplifying
-27 + y = 0

Solving
-27 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '27' to each side of the equation.
-27 + 27 + y = 0 + 27

Combine like terms: -27 + 27 = 0
0 + y = 0 + 27
y = 0 + 27

Combine like terms: 0 + 27 = 27
y = 27

Simplifying
y = 27
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = 0 + -1
-1y = 0 + -1

Combine like terms: 0 + -1 = -1
-1y = -1

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Solution
y = {27, 1}