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Simplifying -5(3y + -6) + 3(2y + 8) = 0 Reorder the terms: -5(-6 + 3y) + 3(2y + 8) = 0 (-6 * -5 + 3y * -5) + 3(2y + 8) = 0 (30 + -15y) + 3(2y + 8) = 0 Reorder the terms: 30 + -15y + 3(8 + 2y) = 0 30 + -15y + (8 * 3 + 2y * 3) = 0 30 + -15y + (24 + 6y) = 0 Reorder the terms: 30 + 24 + -15y + 6y = 0 Combine like terms: 30 + 24 = 54 54 + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 54 + -9y = 0 Solving 54 + -9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -9y = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -9y = 0 + -54 -9y = 0 + -54 Combine like terms: 0 + -54 = -54 -9y = -54 Divide each side by '-9'. y = 6 Simplifying y = 6
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