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Simplifying -3(3y + -5) + 2(2y + 5) = 0 Reorder the terms: -3(-5 + 3y) + 2(2y + 5) = 0 (-5 * -3 + 3y * -3) + 2(2y + 5) = 0 (15 + -9y) + 2(2y + 5) = 0 Reorder the terms: 15 + -9y + 2(5 + 2y) = 0 15 + -9y + (5 * 2 + 2y * 2) = 0 15 + -9y + (10 + 4y) = 0 Reorder the terms: 15 + 10 + -9y + 4y = 0 Combine like terms: 15 + 10 = 25 25 + -9y + 4y = 0 Combine like terms: -9y + 4y = -5y 25 + -5y = 0 Solving 25 + -5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -5y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -5y = 0 + -25 -5y = 0 + -25 Combine like terms: 0 + -25 = -25 -5y = -25 Divide each side by '-5'. y = 5 Simplifying y = 5
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