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Simplifying y2 + -5y + 8 = y2 + 7y + -6 Reorder the terms: 8 + -5y + y2 = y2 + 7y + -6 Reorder the terms: 8 + -5y + y2 = -6 + 7y + y2 Add '-1y2' to each side of the equation. 8 + -5y + y2 + -1y2 = -6 + 7y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 8 + -5y + 0 = -6 + 7y + y2 + -1y2 8 + -5y = -6 + 7y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 8 + -5y = -6 + 7y + 0 8 + -5y = -6 + 7y Solving 8 + -5y = -6 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 8 + -5y + -7y = -6 + 7y + -7y Combine like terms: -5y + -7y = -12y 8 + -12y = -6 + 7y + -7y Combine like terms: 7y + -7y = 0 8 + -12y = -6 + 0 8 + -12y = -6 Add '-8' to each side of the equation. 8 + -8 + -12y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -12y = -6 + -8 -12y = -6 + -8 Combine like terms: -6 + -8 = -14 -12y = -14 Divide each side by '-12'. y = 1.166666667 Simplifying y = 1.166666667
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