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Simplifying y2 + 6y + -24 = y2 + 3y + 3 Reorder the terms: -24 + 6y + y2 = y2 + 3y + 3 Reorder the terms: -24 + 6y + y2 = 3 + 3y + y2 Add '-1y2' to each side of the equation. -24 + 6y + y2 + -1y2 = 3 + 3y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -24 + 6y + 0 = 3 + 3y + y2 + -1y2 -24 + 6y = 3 + 3y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -24 + 6y = 3 + 3y + 0 -24 + 6y = 3 + 3y Solving -24 + 6y = 3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -24 + 6y + -3y = 3 + 3y + -3y Combine like terms: 6y + -3y = 3y -24 + 3y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 3y = 3 + 0 -24 + 3y = 3 Add '24' to each side of the equation. -24 + 24 + 3y = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 3y = 3 + 24 3y = 3 + 24 Combine like terms: 3 + 24 = 27 3y = 27 Divide each side by '3'. y = 9 Simplifying y = 9
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