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Simplifying 6(y + 7) + -11(y + -6) = 0 Reorder the terms: 6(7 + y) + -11(y + -6) = 0 (7 * 6 + y * 6) + -11(y + -6) = 0 (42 + 6y) + -11(y + -6) = 0 Reorder the terms: 42 + 6y + -11(-6 + y) = 0 42 + 6y + (-6 * -11 + y * -11) = 0 42 + 6y + (66 + -11y) = 0 Reorder the terms: 42 + 66 + 6y + -11y = 0 Combine like terms: 42 + 66 = 108 108 + 6y + -11y = 0 Combine like terms: 6y + -11y = -5y 108 + -5y = 0 Solving 108 + -5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + -5y = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -5y = 0 + -108 -5y = 0 + -108 Combine like terms: 0 + -108 = -108 -5y = -108 Divide each side by '-5'. y = 21.6 Simplifying y = 21.6
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