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Simplifying 11(y + -6) = 7y + -46 Reorder the terms: 11(-6 + y) = 7y + -46 (-6 * 11 + y * 11) = 7y + -46 (-66 + 11y) = 7y + -46 Reorder the terms: -66 + 11y = -46 + 7y Solving -66 + 11y = -46 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -66 + 11y + -7y = -46 + 7y + -7y Combine like terms: 11y + -7y = 4y -66 + 4y = -46 + 7y + -7y Combine like terms: 7y + -7y = 0 -66 + 4y = -46 + 0 -66 + 4y = -46 Add '66' to each side of the equation. -66 + 66 + 4y = -46 + 66 Combine like terms: -66 + 66 = 0 0 + 4y = -46 + 66 4y = -46 + 66 Combine like terms: -46 + 66 = 20 4y = 20 Divide each side by '4'. y = 5 Simplifying y = 5
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