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Simplifying (9(y + 5) + -18) + (3(y + -3) + 5) = 0 Reorder the terms: (9(5 + y) + -18) + (3(y + -3) + 5) = 0 ((5 * 9 + y * 9) + -18) + (3(y + -3) + 5) = 0 ((45 + 9y) + -18) + (3(y + -3) + 5) = 0 Reorder the terms: (45 + -18 + 9y) + (3(y + -3) + 5) = 0 Combine like terms: 45 + -18 = 27 (27 + 9y) + (3(y + -3) + 5) = 0 Remove parenthesis around (27 + 9y) 27 + 9y + (3(y + -3) + 5) = 0 Reorder the terms: 27 + 9y + (3(-3 + y) + 5) = 0 27 + 9y + ((-3 * 3 + y * 3) + 5) = 0 27 + 9y + ((-9 + 3y) + 5) = 0 Reorder the terms: 27 + 9y + (-9 + 5 + 3y) = 0 Combine like terms: -9 + 5 = -4 27 + 9y + (-4 + 3y) = 0 Remove parenthesis around (-4 + 3y) 27 + 9y + -4 + 3y = 0 Reorder the terms: 27 + -4 + 9y + 3y = 0 Combine like terms: 27 + -4 = 23 23 + 9y + 3y = 0 Combine like terms: 9y + 3y = 12y 23 + 12y = 0 Solving 23 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 12y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 12y = 0 + -23 12y = 0 + -23 Combine like terms: 0 + -23 = -23 12y = -23 Divide each side by '12'. y = -1.916666667 Simplifying y = -1.916666667
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