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Simplifying y2 + -12y + -3c + 4y + -8 = 0 Reorder the terms: -8 + -3c + -12y + 4y + y2 = 0 Combine like terms: -12y + 4y = -8y -8 + -3c + -8y + y2 = 0 Solving -8 + -3c + -8y + y2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -3c + -8y + 8 + y2 = 0 + 8 Reorder the terms: -8 + 8 + -3c + -8y + y2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3c + -8y + y2 = 0 + 8 -3c + -8y + y2 = 0 + 8 Combine like terms: 0 + 8 = 8 -3c + -8y + y2 = 8 Add '8y' to each side of the equation. -3c + -8y + 8y + y2 = 8 + 8y Combine like terms: -8y + 8y = 0 -3c + 0 + y2 = 8 + 8y -3c + y2 = 8 + 8y Add '-1y2' to each side of the equation. -3c + y2 + -1y2 = 8 + 8y + -1y2 Combine like terms: y2 + -1y2 = 0 -3c + 0 = 8 + 8y + -1y2 -3c = 8 + 8y + -1y2 Divide each side by '-3'. c = -2.666666667 + -2.666666667y + 0.3333333333y2 Simplifying c = -2.666666667 + -2.666666667y + 0.3333333333y2
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