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Simplifying 7 = 6y + y2 Solving 7 = 6y + y2 Solving for variable 'y'. Reorder the terms: 7 + -6y + -1y2 = 6y + -6y + y2 + -1y2 Combine like terms: 6y + -6y = 0 7 + -6y + -1y2 = 0 + y2 + -1y2 7 + -6y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 7 + -6y + -1y2 = 0 Factor a trinomial. (1 + -1y)(7 + y) = 0Subproblem 1
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 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 = {1, -7}
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