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Simplifying y(8y + 2y + -3y + 2xy * 2 + -7y + -6y) + 16 = 432 Reorder the terms for easier multiplication: y(8y + 2y + -3y + 2 * 2xy + -7y + -6y) + 16 = 432 Multiply 2 * 2 y(8y + 2y + -3y + 4xy + -7y + -6y) + 16 = 432 Reorder the terms: y(4xy + 8y + 2y + -3y + -7y + -6y) + 16 = 432 Combine like terms: 8y + 2y = 10y y(4xy + 10y + -3y + -7y + -6y) + 16 = 432 Combine like terms: 10y + -3y = 7y y(4xy + 7y + -7y + -6y) + 16 = 432 Combine like terms: 7y + -7y = 0 y(4xy + 0 + -6y) + 16 = 432 y(4xy + -6y) + 16 = 432 (4xy * y + -6y * y) + 16 = 432 (4xy2 + -6y2) + 16 = 432 Reorder the terms: 16 + 4xy2 + -6y2 = 432 Solving 16 + 4xy2 + -6y2 = 432 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 4xy2 + -16 + -6y2 = 432 + -16 Reorder the terms: 16 + -16 + 4xy2 + -6y2 = 432 + -16 Combine like terms: 16 + -16 = 0 0 + 4xy2 + -6y2 = 432 + -16 4xy2 + -6y2 = 432 + -16 Combine like terms: 432 + -16 = 416 4xy2 + -6y2 = 416 Add '6y2' to each side of the equation. 4xy2 + -6y2 + 6y2 = 416 + 6y2 Combine like terms: -6y2 + 6y2 = 0 4xy2 + 0 = 416 + 6y2 4xy2 = 416 + 6y2 Divide each side by '4y2'. x = 104y-2 + 1.5 Simplifying x = 104y-2 + 1.5 Reorder the terms: x = 1.5 + 104y-2
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