y^2-14y+18=-4y-6

Solution for y^2-14y+18=-4y-6 equation:

Simplifying
y2 + -14y + 18 = -4y + -6

Reorder the terms:
18 + -14y + y2 = -4y + -6

Reorder the terms:
18 + -14y + y2 = -6 + -4y

Solving
18 + -14y + y2 = -6 + -4y

Solving for variable 'y'.

Reorder the terms:
18 + 6 + -14y + 4y + y2 = -6 + -4y + 6 + 4y

Combine like terms: 18 + 6 = 24
24 + -14y + 4y + y2 = -6 + -4y + 6 + 4y

Combine like terms: -14y + 4y = -10y
24 + -10y + y2 = -6 + -4y + 6 + 4y

Reorder the terms:
24 + -10y + y2 = -6 + 6 + -4y + 4y

Combine like terms: -6 + 6 = 0
24 + -10y + y2 = 0 + -4y + 4y
24 + -10y + y2 = -4y + 4y

Combine like terms: -4y + 4y = 0
24 + -10y + y2 = 0

Factor a trinomial.
(4 + -1y)(6 + -1y) = 0

Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6
Solution
y = {4, 6}