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Simplifying y2 + -5y + 9 = y2 + -4y + 4 Reorder the terms: 9 + -5y + y2 = y2 + -4y + 4 Reorder the terms: 9 + -5y + y2 = 4 + -4y + y2 Add '-1y2' to each side of the equation. 9 + -5y + y2 + -1y2 = 4 + -4y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 9 + -5y + 0 = 4 + -4y + y2 + -1y2 9 + -5y = 4 + -4y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 9 + -5y = 4 + -4y + 0 9 + -5y = 4 + -4y Solving 9 + -5y = 4 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 9 + -5y + 4y = 4 + -4y + 4y Combine like terms: -5y + 4y = -1y 9 + -1y = 4 + -4y + 4y Combine like terms: -4y + 4y = 0 9 + -1y = 4 + 0 9 + -1y = 4 Add '-9' to each side of the equation. 9 + -9 + -1y = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 4 + -9 -1y = 4 + -9 Combine like terms: 4 + -9 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5
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