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Simplifying 5(3y + -6) + -1(9y + 5) = 0 Reorder the terms: 5(-6 + 3y) + -1(9y + 5) = 0 (-6 * 5 + 3y * 5) + -1(9y + 5) = 0 (-30 + 15y) + -1(9y + 5) = 0 Reorder the terms: -30 + 15y + -1(5 + 9y) = 0 -30 + 15y + (5 * -1 + 9y * -1) = 0 -30 + 15y + (-5 + -9y) = 0 Reorder the terms: -30 + -5 + 15y + -9y = 0 Combine like terms: -30 + -5 = -35 -35 + 15y + -9y = 0 Combine like terms: 15y + -9y = 6y -35 + 6y = 0 Solving -35 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 6y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 6y = 0 + 35 6y = 0 + 35 Combine like terms: 0 + 35 = 35 6y = 35 Divide each side by '6'. y = 5.833333333 Simplifying y = 5.833333333
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