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Simplifying 3(5 + -1y) + -1(1 + -4y) = 0 (5 * 3 + -1y * 3) + -1(1 + -4y) = 0 (15 + -3y) + -1(1 + -4y) = 0 15 + -3y + (1 * -1 + -4y * -1) = 0 15 + -3y + (-1 + 4y) = 0 Reorder the terms: 15 + -1 + -3y + 4y = 0 Combine like terms: 15 + -1 = 14 14 + -3y + 4y = 0 Combine like terms: -3y + 4y = 1y 14 + 1y = 0 Solving 14 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1y = 0 + -14 1y = 0 + -14 Combine like terms: 0 + -14 = -14 1y = -14 Divide each side by '1'. y = -14 Simplifying y = -14
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