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Simplifying (7y2 + -3y) + (8y2 + -8y) = 0 Reorder the terms: (-3y + 7y2) + (8y2 + -8y) = 0 Remove parenthesis around (-3y + 7y2) -3y + 7y2 + (8y2 + -8y) = 0 Reorder the terms: -3y + 7y2 + (-8y + 8y2) = 0 Remove parenthesis around (-8y + 8y2) -3y + 7y2 + -8y + 8y2 = 0 Reorder the terms: -3y + -8y + 7y2 + 8y2 = 0 Combine like terms: -3y + -8y = -11y -11y + 7y2 + 8y2 = 0 Combine like terms: 7y2 + 8y2 = 15y2 -11y + 15y2 = 0 Solving -11y + 15y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-11 + 15y) = 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 '(-11 + 15y)' equal to zero and attempt to solve: Simplifying -11 + 15y = 0 Solving -11 + 15y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 15y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 15y = 0 + 11 15y = 0 + 11 Combine like terms: 0 + 11 = 11 15y = 11 Divide each side by '15'. y = 0.7333333333 Simplifying y = 0.7333333333Solution
y = {0, 0.7333333333}
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