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Simplifying (2 + y)(2 + y) = (10)(10) + (y)(y) Multiply (2 + y) * (2 + y) (2(2 + y) + y(2 + y)) = (10)(10) + (y)(y) ((2 * 2 + y * 2) + y(2 + y)) = (10)(10) + (y)(y) ((4 + 2y) + y(2 + y)) = (10)(10) + (y)(y) (4 + 2y + (2 * y + y * y)) = (10)(10) + (y)(y) (4 + 2y + (2y + y2)) = (10)(10) + (y)(y) Combine like terms: 2y + 2y = 4y (4 + 4y + y2) = (10)(10) + (y)(y) Multiply 10 * 10 4 + 4y + y2 = 100 + (y)(y) Multiply y * y 4 + 4y + y2 = 100 + y2 Add '-1y2' to each side of the equation. 4 + 4y + y2 + -1y2 = 100 + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 4 + 4y + 0 = 100 + y2 + -1y2 4 + 4y = 100 + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 4 + 4y = 100 + 0 4 + 4y = 100 Solving 4 + 4y = 100 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4y = 100 + -4 Combine like terms: 4 + -4 = 0 0 + 4y = 100 + -4 4y = 100 + -4 Combine like terms: 100 + -4 = 96 4y = 96 Divide each side by '4'. y = 24 Simplifying y = 24
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