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Simplifying -1y2 + -1[9y + -1(-2y + -8y)] + -1[-8 + (-15y + 8)] = 0 Combine like terms: -2y + -8y = -10y -1y2 + -1[9y + -1(-10y)] + -1[-8 + (-15y + 8)] = 0 Remove parenthesis around (-10y) -1y2 + -1[9y + -1 * -10y] + -1[-8 + (-15y + 8)] = 0 Multiply -1 * -10 -1y2 + -1[9y + 10y] + -1[-8 + (-15y + 8)] = 0 Combine like terms: 9y + 10y = 19y -1y2 + -1[19y] + -1[-8 + (-15y + 8)] = 0 Remove brackets around [19y] -1y2 + -1 * 19y + -1[-8 + (-15y + 8)] = 0 Multiply -1 * 19 -1y2 + -19y + -1[-8 + (-15y + 8)] = 0 Reorder the terms: -1y2 + -19y + -1[-8 + (8 + -15y)] = 0 Remove parenthesis around (8 + -15y) -1y2 + -19y + -1[-8 + 8 + -15y] = 0 Combine like terms: -8 + 8 = 0 -1y2 + -19y + -1[0 + -15y] = 0 -1y2 + -19y + -1[-15y] = 0 Remove brackets around [-15y] -1y2 + -19y + -1 * -15y = 0 Multiply -1 * -15 -1y2 + -19y + 15y = 0 Reorder the terms: -19y + 15y + -1y2 = 0 Combine like terms: -19y + 15y = -4y -4y + -1y2 = 0 Solving -4y + -1y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1y'. -1y(4 + y) = 0 Ignore the factor -1.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 '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {0, -4}
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