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Simplifying y2 + 15y + 56 = (y + 7)(y + x) Reorder the terms: 56 + 15y + y2 = (y + 7)(y + x) Reorder the terms: 56 + 15y + y2 = (7 + y)(y + x) Reorder the terms: 56 + 15y + y2 = (7 + y)(x + y) Multiply (7 + y) * (x + y) 56 + 15y + y2 = (7(x + y) + y(x + y)) 56 + 15y + y2 = ((x * 7 + y * 7) + y(x + y)) 56 + 15y + y2 = ((7x + 7y) + y(x + y)) 56 + 15y + y2 = (7x + 7y + (x * y + y * y)) 56 + 15y + y2 = (7x + 7y + (xy + y2)) Reorder the terms: 56 + 15y + y2 = (7x + xy + 7y + y2) 56 + 15y + y2 = (7x + xy + 7y + y2) Add '-1y2' to each side of the equation. 56 + 15y + y2 + -1y2 = 7x + xy + 7y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 56 + 15y + 0 = 7x + xy + 7y + y2 + -1y2 56 + 15y = 7x + xy + 7y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 56 + 15y = 7x + xy + 7y + 0 56 + 15y = 7x + xy + 7y Solving 56 + 15y = 7x + xy + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1xy' to each side of the equation. 56 + -1xy + 15y = 7x + xy + -1xy + 7y Combine like terms: xy + -1xy = 0 56 + -1xy + 15y = 7x + 0 + 7y 56 + -1xy + 15y = 7x + 7y Add '-7y' to each side of the equation. 56 + -1xy + 15y + -7y = 7x + 7y + -7y Combine like terms: 15y + -7y = 8y 56 + -1xy + 8y = 7x + 7y + -7y Combine like terms: 7y + -7y = 0 56 + -1xy + 8y = 7x + 0 56 + -1xy + 8y = 7x Add '-56' to each side of the equation. 56 + -1xy + -56 + 8y = -56 + 7x Reorder the terms: 56 + -56 + -1xy + 8y = -56 + 7x Combine like terms: 56 + -56 = 0 0 + -1xy + 8y = -56 + 7x -1xy + 8y = -56 + 7x Reorder the terms: 56 + -7x + -1xy + 8y = -56 + 7x + 56 + -7x Reorder the terms: 56 + -7x + -1xy + 8y = -56 + 56 + 7x + -7x Combine like terms: -56 + 56 = 0 56 + -7x + -1xy + 8y = 0 + 7x + -7x 56 + -7x + -1xy + 8y = 7x + -7x Combine like terms: 7x + -7x = 0 56 + -7x + -1xy + 8y = 0 The solution to this equation could not be determined.
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