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Simplifying (1 + -1y)[1] + y[4] = (1 + -1y)[4] + y[2] Reorder the terms for easier multiplication: 1(1 + -1y) + y[4] = (1 + -1y)[4] + y[2] (1 * 1 + -1y * 1) + y[4] = (1 + -1y)[4] + y[2] (1 + -1y) + y[4] = (1 + -1y)[4] + y[2] Reorder the terms for easier multiplication: 1 + -1y + 4y = (1 + -1y)[4] + y[2] Combine like terms: -1y + 4y = 3y 1 + 3y = (1 + -1y)[4] + y[2] Reorder the terms for easier multiplication: 1 + 3y = 4(1 + -1y) + y[2] 1 + 3y = (1 * 4 + -1y * 4) + y[2] 1 + 3y = (4 + -4y) + y[2] Reorder the terms for easier multiplication: 1 + 3y = 4 + -4y + 2y Combine like terms: -4y + 2y = -2y 1 + 3y = 4 + -2y Solving 1 + 3y = 4 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 1 + 3y + 2y = 4 + -2y + 2y Combine like terms: 3y + 2y = 5y 1 + 5y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 1 + 5y = 4 + 0 1 + 5y = 4 Add '-1' to each side of the equation. 1 + -1 + 5y = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 5y = 4 + -1 5y = 4 + -1 Combine like terms: 4 + -1 = 3 5y = 3 Divide each side by '5'. y = 0.6 Simplifying y = 0.6
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