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Simplifying
(3 + -1y)(3 + y) = 0
Multiply (3 + -1y) * (3 + y)
(3(3 + y) + -1y * (3 + y)) = 0
((3 * 3 + y * 3) + -1y * (3 + y)) = 0
((9 + 3y) + -1y * (3 + y)) = 0
(9 + 3y + (3 * -1y + y * -1y)) = 0
(9 + 3y + (-3y + -1y2)) = 0
Combine like terms: 3y + -3y = 0
(9 + 0 + -1y2) = 0
(9 + -1y2) = 0
Solving
9 + -1y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + -1y2 = 0 + -9
Combine like terms: 9 + -9 = 0
0 + -1y2 = 0 + -9
-1y2 = 0 + -9
Combine like terms: 0 + -9 = -9
-1y2 = -9
Divide each side by '-1'.
y2 = 9
Simplifying
y2 = 9
Take the square root of each side:
y = {-3, 3}
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