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Simplifying 8y = 12 + y2 Solving 8y = 12 + y2 Solving for variable 'y'. Reorder the terms: -12 + 8y + -1y2 = 12 + y2 + -12 + -1y2 Reorder the terms: -12 + 8y + -1y2 = 12 + -12 + y2 + -1y2 Combine like terms: 12 + -12 = 0 -12 + 8y + -1y2 = 0 + y2 + -1y2 -12 + 8y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -12 + 8y + -1y2 = 0 Factor a trinomial. (-6 + y)(2 + -1y) = 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 '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {6, 2}
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