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Simplifying x2 + 4y = (x + 6)(x + -2) Reorder the terms: x2 + 4y = (6 + x)(x + -2) Reorder the terms: x2 + 4y = (6 + x)(-2 + x) Multiply (6 + x) * (-2 + x) x2 + 4y = (6(-2 + x) + x(-2 + x)) x2 + 4y = ((-2 * 6 + x * 6) + x(-2 + x)) x2 + 4y = ((-12 + 6x) + x(-2 + x)) x2 + 4y = (-12 + 6x + (-2 * x + x * x)) x2 + 4y = (-12 + 6x + (-2x + x2)) Combine like terms: 6x + -2x = 4x x2 + 4y = (-12 + 4x + x2) Add '-1x2' to each side of the equation. x2 + -1x2 + 4y = -12 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + 4y = -12 + 4x + x2 + -1x2 4y = -12 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4y = -12 + 4x + 0 4y = -12 + 4x Solving 4y = -12 + 4x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '4'. y = -3 + x Simplifying y = -3 + x
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