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Simplifying y2 = -49 + -14y Solving y2 = -49 + -14y Solving for variable 'y'. Reorder the terms: 49 + 14y + y2 = -49 + -14y + 49 + 14y Reorder the terms: 49 + 14y + y2 = -49 + 49 + -14y + 14y Combine like terms: -49 + 49 = 0 49 + 14y + y2 = 0 + -14y + 14y 49 + 14y + y2 = -14y + 14y Combine like terms: -14y + 14y = 0 49 + 14y + y2 = 0 Factor a trinomial. (7 + y)(7 + 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 '(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 = -7Solution
y = {-7, -7}
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