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Simplifying 2y2 = 32y Solving 2y2 = 32y Solving for variable 'y'. Reorder the terms: -32y + 2y2 = 32y + -32y Combine like terms: 32y + -32y = 0 -32y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(-16 + y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-16 + y)' equal to zero and attempt to solve: Simplifying -16 + y = 0 Solving -16 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + y = 0 + 16 y = 0 + 16 Combine like terms: 0 + 16 = 16 y = 16 Simplifying y = 16Solution
y = {0, 16}
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