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Simplifying y = x2 + 2x + 1 + 3y + cos(x) Multiply cos * x y = x2 + 2x + 1 + 3y + cosx Reorder the terms: y = 1 + cosx + 2x + x2 + 3y Solving y = 1 + cosx + 2x + x2 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. y + -3y = 1 + cosx + 2x + x2 + 3y + -3y Combine like terms: y + -3y = -2y -2y = 1 + cosx + 2x + x2 + 3y + -3y Combine like terms: 3y + -3y = 0 -2y = 1 + cosx + 2x + x2 + 0 -2y = 1 + cosx + 2x + x2 Divide each side by '-2'. y = -0.5 + -0.5cosx + -1x + -0.5x2 Simplifying y = -0.5 + -0.5cosx + -1x + -0.5x2
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