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Simplifying 79y = 39y(2y + 2) Reorder the terms: 79y = 39y(2 + 2y) 79y = (2 * 39y + 2y * 39y) 79y = (78y + 78y2) Solving 79y = 78y + 78y2 Solving for variable 'y'. Combine like terms: 79y + -78y = 1y 1y + -78y2 = 78y + 78y2 + -78y + -78y2 Reorder the terms: 1y + -78y2 = 78y + -78y + 78y2 + -78y2 Combine like terms: 78y + -78y = 0 1y + -78y2 = 0 + 78y2 + -78y2 1y + -78y2 = 78y2 + -78y2 Combine like terms: 78y2 + -78y2 = 0 1y + -78y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(1 + -78y) = 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 '(1 + -78y)' equal to zero and attempt to solve: Simplifying 1 + -78y = 0 Solving 1 + -78y = 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 + -78y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -78y = 0 + -1 -78y = 0 + -1 Combine like terms: 0 + -1 = -1 -78y = -1 Divide each side by '-78'. y = 0.01282051282 Simplifying y = 0.01282051282Solution
y = {0, 0.01282051282}
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