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Simplifying 2y2 = -23y Solving 2y2 = -23y Solving for variable 'y'. Reorder the terms: 23y + 2y2 = -23y + 23y Combine like terms: -23y + 23y = 0 23y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(23 + 2y) = 0Subproblem 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 '(23 + 2y)' equal to zero and attempt to solve: Simplifying 23 + 2y = 0 Solving 23 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2y = 0 + -23 2y = 0 + -23 Combine like terms: 0 + -23 = -23 2y = -23 Divide each side by '2'. y = -11.5 Simplifying y = -11.5Solution
y = {0, -11.5}
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