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Simplifying -5(3y + -6) + 3(2y + 9) = 0 Reorder the terms: -5(-6 + 3y) + 3(2y + 9) = 0 (-6 * -5 + 3y * -5) + 3(2y + 9) = 0 (30 + -15y) + 3(2y + 9) = 0 Reorder the terms: 30 + -15y + 3(9 + 2y) = 0 30 + -15y + (9 * 3 + 2y * 3) = 0 30 + -15y + (27 + 6y) = 0 Reorder the terms: 30 + 27 + -15y + 6y = 0 Combine like terms: 30 + 27 = 57 57 + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 57 + -9y = 0 Solving 57 + -9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -9y = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -9y = 0 + -57 -9y = 0 + -57 Combine like terms: 0 + -57 = -57 -9y = -57 Divide each side by '-9'. y = 6.333333333 Simplifying y = 6.333333333
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