(y+7)(y-7)=

Solution for (y+7)(y-7)= equation:

Simplifying
(y + 7)(y + -7) = 0

Reorder the terms:
(7 + y)(y + -7) = 0

Reorder the terms:
(7 + y)(-7 + y) = 0

Multiply (7 + y) * (-7 + y)
(7(-7 + y) + y(-7 + y)) = 0
((-7 * 7 + y * 7) + y(-7 + y)) = 0
((-49 + 7y) + y(-7 + y)) = 0
(-49 + 7y + (-7 * y + y * y)) = 0
(-49 + 7y + (-7y + y2)) = 0

Combine like terms: 7y + -7y = 0
(-49 + 0 + y2) = 0
(-49 + y2) = 0

Solving
-49 + y2 = 0

Solving for variable 'y'.

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

Add '49' to each side of the equation.
-49 + 49 + y2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + y2 = 0 + 49
y2 = 0 + 49

Combine like terms: 0 + 49 = 49
y2 = 49

Simplifying
y2 = 49

Take the square root of each side:
y = {-7, 7}