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Simplifying 6y + -3 = 8 + 11(y + 9) Reorder the terms: -3 + 6y = 8 + 11(y + 9) Reorder the terms: -3 + 6y = 8 + 11(9 + y) -3 + 6y = 8 + (9 * 11 + y * 11) -3 + 6y = 8 + (99 + 11y) Combine like terms: 8 + 99 = 107 -3 + 6y = 107 + 11y Solving -3 + 6y = 107 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -3 + 6y + -11y = 107 + 11y + -11y Combine like terms: 6y + -11y = -5y -3 + -5y = 107 + 11y + -11y Combine like terms: 11y + -11y = 0 -3 + -5y = 107 + 0 -3 + -5y = 107 Add '3' to each side of the equation. -3 + 3 + -5y = 107 + 3 Combine like terms: -3 + 3 = 0 0 + -5y = 107 + 3 -5y = 107 + 3 Combine like terms: 107 + 3 = 110 -5y = 110 Divide each side by '-5'. y = -22 Simplifying y = -22
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