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Simplifying y = (x + 5)(y + -2) Reorder the terms: y = (5 + x)(y + -2) Reorder the terms: y = (5 + x)(-2 + y) Multiply (5 + x) * (-2 + y) y = (5(-2 + y) + x(-2 + y)) y = ((-2 * 5 + y * 5) + x(-2 + y)) y = ((-10 + 5y) + x(-2 + y)) y = (-10 + 5y + (-2 * x + y * x)) y = (-10 + 5y + (-2x + xy)) Reorder the terms: y = (-10 + -2x + xy + 5y) y = (-10 + -2x + xy + 5y) Solving y = -10 + -2x + xy + 5y 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. -1xy + y = -10 + -2x + xy + -1xy + 5y Combine like terms: xy + -1xy = 0 -1xy + y = -10 + -2x + 0 + 5y -1xy + y = -10 + -2x + 5y Add '-5y' to each side of the equation. -1xy + y + -5y = -10 + -2x + 5y + -5y Combine like terms: y + -5y = -4y -1xy + -4y = -10 + -2x + 5y + -5y Combine like terms: 5y + -5y = 0 -1xy + -4y = -10 + -2x + 0 -1xy + -4y = -10 + -2x Reorder the terms: 10 + 2x + -1xy + -4y = -10 + -2x + 10 + 2x Reorder the terms: 10 + 2x + -1xy + -4y = -10 + 10 + -2x + 2x Combine like terms: -10 + 10 = 0 10 + 2x + -1xy + -4y = 0 + -2x + 2x 10 + 2x + -1xy + -4y = -2x + 2x Combine like terms: -2x + 2x = 0 10 + 2x + -1xy + -4y = 0 The solution to this equation could not be determined.
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