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Simplifying 6y + -5 = y2 + -5 Reorder the terms: -5 + 6y = y2 + -5 Reorder the terms: -5 + 6y = -5 + y2 Add '5' to each side of the equation. -5 + 5 + 6y = -5 + 5 + y2 Combine like terms: -5 + 5 = 0 0 + 6y = -5 + 5 + y2 6y = -5 + 5 + y2 Combine like terms: -5 + 5 = 0 6y = 0 + y2 6y = y2 Solving 6y = y2 Solving for variable 'y'. Combine like terms: y2 + -1y2 = 0 6y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(6 + -1y) = 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 '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {0, 6}
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