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Simplifying 4(1y + 1) = 14 + -1y Reorder the terms: 4(1 + 1y) = 14 + -1y (1 * 4 + 1y * 4) = 14 + -1y (4 + 4y) = 14 + -1y Solving 4 + 4y = 14 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 4 + 4y + y = 14 + -1y + y Combine like terms: 4y + y = 5y 4 + 5y = 14 + -1y + y Combine like terms: -1y + y = 0 4 + 5y = 14 + 0 4 + 5y = 14 Add '-4' to each side of the equation. 4 + -4 + 5y = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 5y = 14 + -4 5y = 14 + -4 Combine like terms: 14 + -4 = 10 5y = 10 Divide each side by '5'. y = 2 Simplifying y = 2
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