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Simplifying (21y + -1) = (4x + 23)(9x + -38) Reorder the terms: (-1 + 21y) = (4x + 23)(9x + -38) Remove parenthesis around (-1 + 21y) -1 + 21y = (4x + 23)(9x + -38) Reorder the terms: -1 + 21y = (23 + 4x)(9x + -38) Reorder the terms: -1 + 21y = (23 + 4x)(-38 + 9x) Multiply (23 + 4x) * (-38 + 9x) -1 + 21y = (23(-38 + 9x) + 4x * (-38 + 9x)) -1 + 21y = ((-38 * 23 + 9x * 23) + 4x * (-38 + 9x)) -1 + 21y = ((-874 + 207x) + 4x * (-38 + 9x)) -1 + 21y = (-874 + 207x + (-38 * 4x + 9x * 4x)) -1 + 21y = (-874 + 207x + (-152x + 36x2)) Combine like terms: 207x + -152x = 55x -1 + 21y = (-874 + 55x + 36x2) Solving -1 + 21y = -874 + 55x + 36x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 21y = -874 + 55x + 1 + 36x2 Combine like terms: -1 + 1 = 0 0 + 21y = -874 + 55x + 1 + 36x2 21y = -874 + 55x + 1 + 36x2 Reorder the terms: 21y = -874 + 1 + 55x + 36x2 Combine like terms: -874 + 1 = -873 21y = -873 + 55x + 36x2 Divide each side by '21'. y = -41.57142857 + 2.619047619x + 1.714285714x2 Simplifying y = -41.57142857 + 2.619047619x + 1.714285714x2
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