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Simplifying 17 = 3(9y + -4) + 6(y + 9) Reorder the terms: 17 = 3(-4 + 9y) + 6(y + 9) 17 = (-4 * 3 + 9y * 3) + 6(y + 9) 17 = (-12 + 27y) + 6(y + 9) Reorder the terms: 17 = -12 + 27y + 6(9 + y) 17 = -12 + 27y + (9 * 6 + y * 6) 17 = -12 + 27y + (54 + 6y) Reorder the terms: 17 = -12 + 54 + 27y + 6y Combine like terms: -12 + 54 = 42 17 = 42 + 27y + 6y Combine like terms: 27y + 6y = 33y 17 = 42 + 33y Solving 17 = 42 + 33y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-33y' to each side of the equation. 17 + -33y = 42 + 33y + -33y Combine like terms: 33y + -33y = 0 17 + -33y = 42 + 0 17 + -33y = 42 Add '-17' to each side of the equation. 17 + -17 + -33y = 42 + -17 Combine like terms: 17 + -17 = 0 0 + -33y = 42 + -17 -33y = 42 + -17 Combine like terms: 42 + -17 = 25 -33y = 25 Divide each side by '-33'. y = -0.7575757576 Simplifying y = -0.7575757576
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