(y+4)(y-6)=y^2-16

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Solution for (y+4)(y-6)=y^2-16 equation:


Simplifying
(y + 4)(y + -6) = y2 + -16

Reorder the terms:
(4 + y)(y + -6) = y2 + -16

Reorder the terms:
(4 + y)(-6 + y) = y2 + -16

Multiply (4 + y) * (-6 + y)
(4(-6 + y) + y(-6 + y)) = y2 + -16
((-6 * 4 + y * 4) + y(-6 + y)) = y2 + -16
((-24 + 4y) + y(-6 + y)) = y2 + -16
(-24 + 4y + (-6 * y + y * y)) = y2 + -16
(-24 + 4y + (-6y + y2)) = y2 + -16

Combine like terms: 4y + -6y = -2y
(-24 + -2y + y2) = y2 + -16

Reorder the terms:
-24 + -2y + y2 = -16 + y2

Add '-1y2' to each side of the equation.
-24 + -2y + y2 + -1y2 = -16 + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-24 + -2y + 0 = -16 + y2 + -1y2
-24 + -2y = -16 + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-24 + -2y = -16 + 0
-24 + -2y = -16

Solving
-24 + -2y = -16

Solving for variable 'y'.

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

Add '24' to each side of the equation.
-24 + 24 + -2y = -16 + 24

Combine like terms: -24 + 24 = 0
0 + -2y = -16 + 24
-2y = -16 + 24

Combine like terms: -16 + 24 = 8
-2y = 8

Divide each side by '-2'.
y = -4

Simplifying
y = -4

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