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Simplifying 9(5 + -9y) + 10 = -512 (5 * 9 + -9y * 9) + 10 = -512 (45 + -81y) + 10 = -512 Reorder the terms: 45 + 10 + -81y = -512 Combine like terms: 45 + 10 = 55 55 + -81y = -512 Solving 55 + -81y = -512 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -81y = -512 + -55 Combine like terms: 55 + -55 = 0 0 + -81y = -512 + -55 -81y = -512 + -55 Combine like terms: -512 + -55 = -567 -81y = -567 Divide each side by '-81'. y = 7 Simplifying y = 7
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