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Simplifying -5(y + 6) = 6y + -19 Reorder the terms: -5(6 + y) = 6y + -19 (6 * -5 + y * -5) = 6y + -19 (-30 + -5y) = 6y + -19 Reorder the terms: -30 + -5y = -19 + 6y Solving -30 + -5y = -19 + 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 = -19 + 6y + -6y Combine like terms: -5y + -6y = -11y -30 + -11y = -19 + 6y + -6y Combine like terms: 6y + -6y = 0 -30 + -11y = -19 + 0 -30 + -11y = -19 Add '30' to each side of the equation. -30 + 30 + -11y = -19 + 30 Combine like terms: -30 + 30 = 0 0 + -11y = -19 + 30 -11y = -19 + 30 Combine like terms: -19 + 30 = 11 -11y = 11 Divide each side by '-11'. y = -1 Simplifying y = -1
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