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Simplifying (1 + -1y)[2] + y[4] = (1 + -1y)[4] + x[2] Reorder the terms for easier multiplication: 2(1 + -1y) + y[4] = (1 + -1y)[4] + x[2] (1 * 2 + -1y * 2) + y[4] = (1 + -1y)[4] + x[2] (2 + -2y) + y[4] = (1 + -1y)[4] + x[2] Reorder the terms for easier multiplication: 2 + -2y + 4y = (1 + -1y)[4] + x[2] Combine like terms: -2y + 4y = 2y 2 + 2y = (1 + -1y)[4] + x[2] Reorder the terms for easier multiplication: 2 + 2y = 4(1 + -1y) + x[2] 2 + 2y = (1 * 4 + -1y * 4) + x[2] 2 + 2y = (4 + -4y) + x[2] Reorder the terms for easier multiplication: 2 + 2y = 4 + -4y + 2x Reorder the terms: 2 + 2y = 4 + 2x + -4y Solving 2 + 2y = 4 + 2x + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 2 + 2y + 4y = 4 + 2x + -4y + 4y Combine like terms: 2y + 4y = 6y 2 + 6y = 4 + 2x + -4y + 4y Combine like terms: -4y + 4y = 0 2 + 6y = 4 + 2x + 0 2 + 6y = 4 + 2x Add '-2' to each side of the equation. 2 + -2 + 6y = 4 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + 6y = 4 + -2 + 2x 6y = 4 + -2 + 2x Combine like terms: 4 + -2 = 2 6y = 2 + 2x Divide each side by '6'. y = 0.3333333333 + 0.3333333333x Simplifying y = 0.3333333333 + 0.3333333333x
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