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Simplifying 8y2 + -12y + 4 = y + 10 Reorder the terms: 4 + -12y + 8y2 = y + 10 Reorder the terms: 4 + -12y + 8y2 = 10 + y Solving 4 + -12y + 8y2 = 10 + y Solving for variable 'y'. Reorder the terms: 4 + -10 + -12y + -1y + 8y2 = 10 + y + -10 + -1y Combine like terms: 4 + -10 = -6 -6 + -12y + -1y + 8y2 = 10 + y + -10 + -1y Combine like terms: -12y + -1y = -13y -6 + -13y + 8y2 = 10 + y + -10 + -1y Reorder the terms: -6 + -13y + 8y2 = 10 + -10 + y + -1y Combine like terms: 10 + -10 = 0 -6 + -13y + 8y2 = 0 + y + -1y -6 + -13y + 8y2 = y + -1y Combine like terms: y + -1y = 0 -6 + -13y + 8y2 = 0 Factor a trinomial. (-3 + -8y)(2 + -1y) = 0Subproblem 1
Set the factor '(-3 + -8y)' equal to zero and attempt to solve: Simplifying -3 + -8y = 0 Solving -3 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8y = 0 + 3 -8y = 0 + 3 Combine like terms: 0 + 3 = 3 -8y = 3 Divide each side by '-8'. y = -0.375 Simplifying y = -0.375Subproblem 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 = {-0.375, 2}
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