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Simplifying 16 + -1(y2) = y + -4 Reorder the terms: 16 + -1y2 = -4 + y Solving 16 + -1y2 = -4 + y Solving for variable 'y'. Reorder the terms: 16 + 4 + -1y + -1y2 = -4 + y + 4 + -1y Combine like terms: 16 + 4 = 20 20 + -1y + -1y2 = -4 + y + 4 + -1y Reorder the terms: 20 + -1y + -1y2 = -4 + 4 + y + -1y Combine like terms: -4 + 4 = 0 20 + -1y + -1y2 = 0 + y + -1y 20 + -1y + -1y2 = y + -1y Combine like terms: y + -1y = 0 20 + -1y + -1y2 = 0 Factor a trinomial. (4 + -1y)(5 + y) = 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 '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Solution
y = {4, -5}
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