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Simplifying 4y + 2 = y2 + -10 Reorder the terms: 2 + 4y = y2 + -10 Reorder the terms: 2 + 4y = -10 + y2 Solving 2 + 4y = -10 + y2 Solving for variable 'y'. Reorder the terms: 2 + 10 + 4y + -1y2 = -10 + y2 + 10 + -1y2 Combine like terms: 2 + 10 = 12 12 + 4y + -1y2 = -10 + y2 + 10 + -1y2 Reorder the terms: 12 + 4y + -1y2 = -10 + 10 + y2 + -1y2 Combine like terms: -10 + 10 = 0 12 + 4y + -1y2 = 0 + y2 + -1y2 12 + 4y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 12 + 4y + -1y2 = 0 Factor a trinomial. (6 + -1y)(2 + y) = 0Subproblem 1
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 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 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {6, -2}
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