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Simplifying y2 + 6y + 25 = -4y + 1 Reorder the terms: 25 + 6y + y2 = -4y + 1 Reorder the terms: 25 + 6y + y2 = 1 + -4y Solving 25 + 6y + y2 = 1 + -4y Solving for variable 'y'. Reorder the terms: 25 + -1 + 6y + 4y + y2 = 1 + -4y + -1 + 4y Combine like terms: 25 + -1 = 24 24 + 6y + 4y + y2 = 1 + -4y + -1 + 4y Combine like terms: 6y + 4y = 10y 24 + 10y + y2 = 1 + -4y + -1 + 4y Reorder the terms: 24 + 10y + y2 = 1 + -1 + -4y + 4y Combine like terms: 1 + -1 = 0 24 + 10y + y2 = 0 + -4y + 4y 24 + 10y + y2 = -4y + 4y Combine like terms: -4y + 4y = 0 24 + 10y + y2 = 0 Factor a trinomial. (6 + y)(4 + y) = 0Subproblem 1
Set the factor '(6 + y)' equal to zero and attempt to solve: Simplifying 6 + y = 0 Solving 6 + y = 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 + y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y = 0 + -6 y = 0 + -6 Combine like terms: 0 + -6 = -6 y = -6 Simplifying y = -6Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {-6, -4}
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