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Simplifying 14y + -1(3y + -15) + -1[5y + 2(y + -1)] = 0 Reorder the terms: 14y + -1(-15 + 3y) + -1[5y + 2(y + -1)] = 0 14y + (-15 * -1 + 3y * -1) + -1[5y + 2(y + -1)] = 0 14y + (15 + -3y) + -1[5y + 2(y + -1)] = 0 Reorder the terms: 14y + 15 + -3y + -1[5y + 2(-1 + y)] = 0 14y + 15 + -3y + -1[5y + (-1 * 2 + y * 2)] = 0 14y + 15 + -3y + -1[5y + (-2 + 2y)] = 0 Reorder the terms: 14y + 15 + -3y + -1[-2 + 5y + 2y] = 0 Combine like terms: 5y + 2y = 7y 14y + 15 + -3y + -1[-2 + 7y] = 0 14y + 15 + -3y + [-2 * -1 + 7y * -1] = 0 14y + 15 + -3y + [2 + -7y] = 0 Reorder the terms: 15 + 2 + 14y + -3y + -7y = 0 Combine like terms: 15 + 2 = 17 17 + 14y + -3y + -7y = 0 Combine like terms: 14y + -3y = 11y 17 + 11y + -7y = 0 Combine like terms: 11y + -7y = 4y 17 + 4y = 0 Solving 17 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4y = 0 + -17 4y = 0 + -17 Combine like terms: 0 + -17 = -17 4y = -17 Divide each side by '4'. y = -4.25 Simplifying y = -4.25
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