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Simplifying 3(3y + 5) + -2(3y + 2) = 0 Reorder the terms: 3(5 + 3y) + -2(3y + 2) = 0 (5 * 3 + 3y * 3) + -2(3y + 2) = 0 (15 + 9y) + -2(3y + 2) = 0 Reorder the terms: 15 + 9y + -2(2 + 3y) = 0 15 + 9y + (2 * -2 + 3y * -2) = 0 15 + 9y + (-4 + -6y) = 0 Reorder the terms: 15 + -4 + 9y + -6y = 0 Combine like terms: 15 + -4 = 11 11 + 9y + -6y = 0 Combine like terms: 9y + -6y = 3y 11 + 3y = 0 Solving 11 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3y = 0 + -11 3y = 0 + -11 Combine like terms: 0 + -11 = -11 3y = -11 Divide each side by '3'. y = -3.666666667 Simplifying y = -3.666666667
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