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Simplifying (y + 4)(y + 4) = 9 Reorder the terms: (4 + y)(y + 4) = 9 Reorder the terms: (4 + y)(4 + y) = 9 Multiply (4 + y) * (4 + y) (4(4 + y) + y(4 + y)) = 9 ((4 * 4 + y * 4) + y(4 + y)) = 9 ((16 + 4y) + y(4 + y)) = 9 (16 + 4y + (4 * y + y * y)) = 9 (16 + 4y + (4y + y2)) = 9 Combine like terms: 4y + 4y = 8y (16 + 8y + y2) = 9 Solving 16 + 8y + y2 = 9 Solving for variable 'y'. Reorder the terms: 16 + -9 + 8y + y2 = 9 + -9 Combine like terms: 16 + -9 = 7 7 + 8y + y2 = 9 + -9 Combine like terms: 9 + -9 = 0 7 + 8y + y2 = 0 Factor a trinomial. (7 + y)(1 + y) = 0Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve: Simplifying 7 + y = 0 Solving 7 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y = 0 + -7 y = 0 + -7 Combine like terms: 0 + -7 = -7 y = -7 Simplifying y = -7Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-7, -1}
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