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Simplifying -5(y + -9) = 6y + -43 Reorder the terms: -5(-9 + y) = 6y + -43 (-9 * -5 + y * -5) = 6y + -43 (45 + -5y) = 6y + -43 Reorder the terms: 45 + -5y = -43 + 6y Solving 45 + -5y = -43 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 45 + -5y + -6y = -43 + 6y + -6y Combine like terms: -5y + -6y = -11y 45 + -11y = -43 + 6y + -6y Combine like terms: 6y + -6y = 0 45 + -11y = -43 + 0 45 + -11y = -43 Add '-45' to each side of the equation. 45 + -45 + -11y = -43 + -45 Combine like terms: 45 + -45 = 0 0 + -11y = -43 + -45 -11y = -43 + -45 Combine like terms: -43 + -45 = -88 -11y = -88 Divide each side by '-11'. y = 8 Simplifying y = 8
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