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Simplifying 36 + y2 = (y + 2)(y + 2) Reorder the terms: 36 + y2 = (2 + y)(y + 2) Reorder the terms: 36 + y2 = (2 + y)(2 + y) Multiply (2 + y) * (2 + y) 36 + y2 = (2(2 + y) + y(2 + y)) 36 + y2 = ((2 * 2 + y * 2) + y(2 + y)) 36 + y2 = ((4 + 2y) + y(2 + y)) 36 + y2 = (4 + 2y + (2 * y + y * y)) 36 + y2 = (4 + 2y + (2y + y2)) Combine like terms: 2y + 2y = 4y 36 + y2 = (4 + 4y + y2) Add '-1y2' to each side of the equation. 36 + y2 + -1y2 = 4 + 4y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 36 + 0 = 4 + 4y + y2 + -1y2 36 = 4 + 4y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 36 = 4 + 4y + 0 36 = 4 + 4y Solving 36 = 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. 36 + -4y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 36 + -4y = 4 + 0 36 + -4y = 4 Add '-36' to each side of the equation. 36 + -36 + -4y = 4 + -36 Combine like terms: 36 + -36 = 0 0 + -4y = 4 + -36 -4y = 4 + -36 Combine like terms: 4 + -36 = -32 -4y = -32 Divide each side by '-4'. y = 8 Simplifying y = 8
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