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Simplifying 7y + -1 = -3y2 + y + -1 Reorder the terms: -1 + 7y = -3y2 + y + -1 Reorder the terms: -1 + 7y = -1 + y + -3y2 Add '1' to each side of the equation. -1 + 1 + 7y = -1 + y + 1 + -3y2 Combine like terms: -1 + 1 = 0 0 + 7y = -1 + y + 1 + -3y2 7y = -1 + y + 1 + -3y2 Reorder the terms: 7y = -1 + 1 + y + -3y2 Combine like terms: -1 + 1 = 0 7y = 0 + y + -3y2 7y = y + -3y2 Solving 7y = y + -3y2 Solving for variable 'y'. Combine like terms: 7y + -1y = 6y 6y + 3y2 = y + -3y2 + -1y + 3y2 Reorder the terms: 6y + 3y2 = y + -1y + -3y2 + 3y2 Combine like terms: y + -1y = 0 6y + 3y2 = 0 + -3y2 + 3y2 6y + 3y2 = -3y2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 6y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3y'. 3y(2 + y) = 0 Ignore the factor 3.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 '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {0, -2}
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