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Simplifying 14y + 11 + -1[-10y2 + -1(7y + -11)] = 0 Reorder the terms: 14y + 11 + -1[-10y2 + -1(-11 + 7y)] = 0 14y + 11 + -1[-10y2 + (-11 * -1 + 7y * -1)] = 0 14y + 11 + -1[-10y2 + (11 + -7y)] = 0 Reorder the terms: 14y + 11 + -1[11 + -7y + -10y2] = 0 14y + 11 + [11 * -1 + -7y * -1 + -10y2 * -1] = 0 14y + 11 + [-11 + 7y + 10y2] = 0 Reorder the terms: 11 + -11 + 14y + 7y + 10y2 = 0 Combine like terms: 11 + -11 = 0 0 + 14y + 7y + 10y2 = 0 14y + 7y + 10y2 = 0 Combine like terms: 14y + 7y = 21y 21y + 10y2 = 0 Solving 21y + 10y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(21 + 10y) = 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 '(21 + 10y)' equal to zero and attempt to solve: Simplifying 21 + 10y = 0 Solving 21 + 10y = 0 Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 10y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 10y = 0 + -21 10y = 0 + -21 Combine like terms: 0 + -21 = -21 10y = -21 Divide each side by '10'. y = -2.1 Simplifying y = -2.1Solution
y = {0, -2.1}
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