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Simplifying (y2 + 7) + -5(2 + y) = 33 Reorder the terms: (7 + y2) + -5(2 + y) = 33 Remove parenthesis around (7 + y2) 7 + y2 + -5(2 + y) = 33 7 + y2 + (2 * -5 + y * -5) = 33 7 + y2 + (-10 + -5y) = 33 Reorder the terms: 7 + -10 + -5y + y2 = 33 Combine like terms: 7 + -10 = -3 -3 + -5y + y2 = 33 Solving -3 + -5y + y2 = 33 Solving for variable 'y'. Reorder the terms: -3 + -33 + -5y + y2 = 33 + -33 Combine like terms: -3 + -33 = -36 -36 + -5y + y2 = 33 + -33 Combine like terms: 33 + -33 = 0 -36 + -5y + y2 = 0 Factor a trinomial. (-4 + -1y)(9 + -1y) = 0Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 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 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4Subproblem 2
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 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 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {-4, 9}
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