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Simplifying (4y + -4)(8y + -8) = 0 Reorder the terms: (-4 + 4y)(8y + -8) = 0 Reorder the terms: (-4 + 4y)(-8 + 8y) = 0 Multiply (-4 + 4y) * (-8 + 8y) (-4(-8 + 8y) + 4y * (-8 + 8y)) = 0 ((-8 * -4 + 8y * -4) + 4y * (-8 + 8y)) = 0 ((32 + -32y) + 4y * (-8 + 8y)) = 0 (32 + -32y + (-8 * 4y + 8y * 4y)) = 0 (32 + -32y + (-32y + 32y2)) = 0 Combine like terms: -32y + -32y = -64y (32 + -64y + 32y2) = 0 Solving 32 + -64y + 32y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '32'. 32(1 + -2y + y2) = 0 Factor a trinomial. 32((1 + -1y)(1 + -1y)) = 0 Ignore the factor 32.Subproblem 1
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {1, 1}
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