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Simplifying 14y + -1(3y + -15) + -1[5y + 2 + -1(y + -1)] = 0 Reorder the terms: 14y + -1(-15 + 3y) + -1[5y + 2 + -1(y + -1)] = 0 14y + (-15 * -1 + 3y * -1) + -1[5y + 2 + -1(y + -1)] = 0 14y + (15 + -3y) + -1[5y + 2 + -1(y + -1)] = 0 Reorder the terms: 14y + 15 + -3y + -1[5y + 2 + -1(-1 + y)] = 0 14y + 15 + -3y + -1[5y + 2 + (-1 * -1 + y * -1)] = 0 14y + 15 + -3y + -1[5y + 2 + (1 + -1y)] = 0 Reorder the terms: 14y + 15 + -3y + -1[2 + 1 + 5y + -1y] = 0 Combine like terms: 2 + 1 = 3 14y + 15 + -3y + -1[3 + 5y + -1y] = 0 Combine like terms: 5y + -1y = 4y 14y + 15 + -3y + -1[3 + 4y] = 0 14y + 15 + -3y + [3 * -1 + 4y * -1] = 0 14y + 15 + -3y + [-3 + -4y] = 0 Reorder the terms: 15 + -3 + 14y + -3y + -4y = 0 Combine like terms: 15 + -3 = 12 12 + 14y + -3y + -4y = 0 Combine like terms: 14y + -3y = 11y 12 + 11y + -4y = 0 Combine like terms: 11y + -4y = 7y 12 + 7y = 0 Solving 12 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7y = 0 + -12 7y = 0 + -12 Combine like terms: 0 + -12 = -12 7y = -12 Divide each side by '7'. y = -1.714285714 Simplifying y = -1.714285714
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