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Simplifying -5(y + -6) = 6y + -47 Reorder the terms: -5(-6 + y) = 6y + -47 (-6 * -5 + y * -5) = 6y + -47 (30 + -5y) = 6y + -47 Reorder the terms: 30 + -5y = -47 + 6y Solving 30 + -5y = -47 + 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. 30 + -5y + -6y = -47 + 6y + -6y Combine like terms: -5y + -6y = -11y 30 + -11y = -47 + 6y + -6y Combine like terms: 6y + -6y = 0 30 + -11y = -47 + 0 30 + -11y = -47 Add '-30' to each side of the equation. 30 + -30 + -11y = -47 + -30 Combine like terms: 30 + -30 = 0 0 + -11y = -47 + -30 -11y = -47 + -30 Combine like terms: -47 + -30 = -77 -11y = -77 Divide each side by '-11'. y = 7 Simplifying y = 7
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