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Simplifying 36 + y2 = (y + 1)(y + 1) Reorder the terms: 36 + y2 = (1 + y)(y + 1) Reorder the terms: 36 + y2 = (1 + y)(1 + y) Multiply (1 + y) * (1 + y) 36 + y2 = (1(1 + y) + y(1 + y)) 36 + y2 = ((1 * 1 + y * 1) + y(1 + y)) 36 + y2 = ((1 + 1y) + y(1 + y)) 36 + y2 = (1 + 1y + (1 * y + y * y)) 36 + y2 = (1 + 1y + (1y + y2)) Combine like terms: 1y + 1y = 2y 36 + y2 = (1 + 2y + y2) Add '-1y2' to each side of the equation. 36 + y2 + -1y2 = 1 + 2y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 36 + 0 = 1 + 2y + y2 + -1y2 36 = 1 + 2y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 36 = 1 + 2y + 0 36 = 1 + 2y Solving 36 = 1 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 36 + -2y = 1 + 2y + -2y Combine like terms: 2y + -2y = 0 36 + -2y = 1 + 0 36 + -2y = 1 Add '-36' to each side of the equation. 36 + -36 + -2y = 1 + -36 Combine like terms: 36 + -36 = 0 0 + -2y = 1 + -36 -2y = 1 + -36 Combine like terms: 1 + -36 = -35 -2y = -35 Divide each side by '-2'. y = 17.5 Simplifying y = 17.5
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