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Simplifying 8y(y + 1) = 7y + 9 Reorder the terms: 8y(1 + y) = 7y + 9 (1 * 8y + y * 8y) = 7y + 9 (8y + 8y2) = 7y + 9 Reorder the terms: 8y + 8y2 = 9 + 7y Solving 8y + 8y2 = 9 + 7y Solving for variable 'y'. Reorder the terms: -9 + 8y + -7y + 8y2 = 9 + 7y + -9 + -7y Combine like terms: 8y + -7y = 1y -9 + 1y + 8y2 = 9 + 7y + -9 + -7y Reorder the terms: -9 + 1y + 8y2 = 9 + -9 + 7y + -7y Combine like terms: 9 + -9 = 0 -9 + 1y + 8y2 = 0 + 7y + -7y -9 + 1y + 8y2 = 7y + -7y Combine like terms: 7y + -7y = 0 -9 + 1y + 8y2 = 0 Factor a trinomial. (-9 + -8y)(1 + -1y) = 0Subproblem 1
Set the factor '(-9 + -8y)' equal to zero and attempt to solve: Simplifying -9 + -8y = 0 Solving -9 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -8y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8y = 0 + 9 -8y = 0 + 9 Combine like terms: 0 + 9 = 9 -8y = 9 Divide each side by '-8'. y = -1.125 Simplifying y = -1.125Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {-1.125, 1}
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