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Simplifying 6y + -4(2 + -3(4y + -1)) = -17 Reorder the terms: 6y + -4(2 + -3(-1 + 4y)) = -17 6y + -4(2 + (-1 * -3 + 4y * -3)) = -17 6y + -4(2 + (3 + -12y)) = -17 Combine like terms: 2 + 3 = 5 6y + -4(5 + -12y) = -17 6y + (5 * -4 + -12y * -4) = -17 6y + (-20 + 48y) = -17 Reorder the terms: -20 + 6y + 48y = -17 Combine like terms: 6y + 48y = 54y -20 + 54y = -17 Solving -20 + 54y = -17 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 54y = -17 + 20 Combine like terms: -20 + 20 = 0 0 + 54y = -17 + 20 54y = -17 + 20 Combine like terms: -17 + 20 = 3 54y = 3 Divide each side by '54'. y = 0.05555555556 Simplifying y = 0.05555555556
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