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Simplifying -9(y + 5) = 2y + 10 Reorder the terms: -9(5 + y) = 2y + 10 (5 * -9 + y * -9) = 2y + 10 (-45 + -9y) = 2y + 10 Reorder the terms: -45 + -9y = 10 + 2y Solving -45 + -9y = 10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -45 + -9y + -2y = 10 + 2y + -2y Combine like terms: -9y + -2y = -11y -45 + -11y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 -45 + -11y = 10 + 0 -45 + -11y = 10 Add '45' to each side of the equation. -45 + 45 + -11y = 10 + 45 Combine like terms: -45 + 45 = 0 0 + -11y = 10 + 45 -11y = 10 + 45 Combine like terms: 10 + 45 = 55 -11y = 55 Divide each side by '-11'. y = -5 Simplifying y = -5
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