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Simplifying 5(3y + -9) + -1(9y + 6) = 0 Reorder the terms: 5(-9 + 3y) + -1(9y + 6) = 0 (-9 * 5 + 3y * 5) + -1(9y + 6) = 0 (-45 + 15y) + -1(9y + 6) = 0 Reorder the terms: -45 + 15y + -1(6 + 9y) = 0 -45 + 15y + (6 * -1 + 9y * -1) = 0 -45 + 15y + (-6 + -9y) = 0 Reorder the terms: -45 + -6 + 15y + -9y = 0 Combine like terms: -45 + -6 = -51 -51 + 15y + -9y = 0 Combine like terms: 15y + -9y = 6y -51 + 6y = 0 Solving -51 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 6y = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 6y = 0 + 51 6y = 0 + 51 Combine like terms: 0 + 51 = 51 6y = 51 Divide each side by '6'. y = 8.5 Simplifying y = 8.5
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