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Simplifying y2 + 2y = y2 + 4y + -12 Reorder the terms: 2y + y2 = y2 + 4y + -12 Reorder the terms: 2y + y2 = -12 + 4y + y2 Add '-1y2' to each side of the equation. 2y + y2 + -1y2 = -12 + 4y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 2y + 0 = -12 + 4y + y2 + -1y2 2y = -12 + 4y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 2y = -12 + 4y + 0 2y = -12 + 4y Solving 2y = -12 + 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. 2y + -4y = -12 + 4y + -4y Combine like terms: 2y + -4y = -2y -2y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 -2y = -12 + 0 -2y = -12 Divide each side by '-2'. y = 6 Simplifying y = 6
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