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Simplifying 8 + -5(y + 6) = 1 + 6y Reorder the terms: 8 + -5(6 + y) = 1 + 6y 8 + (6 * -5 + y * -5) = 1 + 6y 8 + (-30 + -5y) = 1 + 6y Combine like terms: 8 + -30 = -22 -22 + -5y = 1 + 6y Solving -22 + -5y = 1 + 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. -22 + -5y + -6y = 1 + 6y + -6y Combine like terms: -5y + -6y = -11y -22 + -11y = 1 + 6y + -6y Combine like terms: 6y + -6y = 0 -22 + -11y = 1 + 0 -22 + -11y = 1 Add '22' to each side of the equation. -22 + 22 + -11y = 1 + 22 Combine like terms: -22 + 22 = 0 0 + -11y = 1 + 22 -11y = 1 + 22 Combine like terms: 1 + 22 = 23 -11y = 23 Divide each side by '-11'. y = -2.090909091 Simplifying y = -2.090909091
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