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Simplifying y2 + -7y + -23 = -4y + -5 Reorder the terms: -23 + -7y + y2 = -4y + -5 Reorder the terms: -23 + -7y + y2 = -5 + -4y Solving -23 + -7y + y2 = -5 + -4y Solving for variable 'y'. Reorder the terms: -23 + 5 + -7y + 4y + y2 = -5 + -4y + 5 + 4y Combine like terms: -23 + 5 = -18 -18 + -7y + 4y + y2 = -5 + -4y + 5 + 4y Combine like terms: -7y + 4y = -3y -18 + -3y + y2 = -5 + -4y + 5 + 4y Reorder the terms: -18 + -3y + y2 = -5 + 5 + -4y + 4y Combine like terms: -5 + 5 = 0 -18 + -3y + y2 = 0 + -4y + 4y -18 + -3y + y2 = -4y + 4y Combine like terms: -4y + 4y = 0 -18 + -3y + y2 = 0 Factor a trinomial. (-3 + -1y)(6 + -1y) = 0Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve: Simplifying -3 + -1y = 0 Solving -3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 0 + 3 -1y = 0 + 3 Combine like terms: 0 + 3 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {-3, 6}
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