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Simplifying
(4 + -1y)(4 + y) = 0
Multiply (4 + -1y) * (4 + y)
(4(4 + y) + -1y * (4 + y)) = 0
((4 * 4 + y * 4) + -1y * (4 + y)) = 0
((16 + 4y) + -1y * (4 + y)) = 0
(16 + 4y + (4 * -1y + y * -1y)) = 0
(16 + 4y + (-4y + -1y2)) = 0
Combine like terms: 4y + -4y = 0
(16 + 0 + -1y2) = 0
(16 + -1y2) = 0
Solving
16 + -1y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + -1y2 = 0 + -16
Combine like terms: 16 + -16 = 0
0 + -1y2 = 0 + -16
-1y2 = 0 + -16
Combine like terms: 0 + -16 = -16
-1y2 = -16
Divide each side by '-1'.
y2 = 16
Simplifying
y2 = 16
Take the square root of each side:
y = {-4, 4}
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