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Simplifying 6(9 + -1y) + 11 = -11(y + -4) + -2 (9 * 6 + -1y * 6) + 11 = -11(y + -4) + -2 (54 + -6y) + 11 = -11(y + -4) + -2 Reorder the terms: 54 + 11 + -6y = -11(y + -4) + -2 Combine like terms: 54 + 11 = 65 65 + -6y = -11(y + -4) + -2 Reorder the terms: 65 + -6y = -11(-4 + y) + -2 65 + -6y = (-4 * -11 + y * -11) + -2 65 + -6y = (44 + -11y) + -2 Reorder the terms: 65 + -6y = 44 + -2 + -11y Combine like terms: 44 + -2 = 42 65 + -6y = 42 + -11y Solving 65 + -6y = 42 + -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. 65 + -6y + 11y = 42 + -11y + 11y Combine like terms: -6y + 11y = 5y 65 + 5y = 42 + -11y + 11y Combine like terms: -11y + 11y = 0 65 + 5y = 42 + 0 65 + 5y = 42 Add '-65' to each side of the equation. 65 + -65 + 5y = 42 + -65 Combine like terms: 65 + -65 = 0 0 + 5y = 42 + -65 5y = 42 + -65 Combine like terms: 42 + -65 = -23 5y = -23 Divide each side by '5'. y = -4.6 Simplifying y = -4.6
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