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Simplifying 7(y + -6) + y + -4 = 0 Reorder the terms: 7(-6 + y) + y + -4 = 0 (-6 * 7 + y * 7) + y + -4 = 0 (-42 + 7y) + y + -4 = 0 Reorder the terms: -42 + -4 + 7y + y = 0 Combine like terms: -42 + -4 = -46 -46 + 7y + y = 0 Combine like terms: 7y + y = 8y -46 + 8y = 0 Solving -46 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 8y = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 8y = 0 + 46 8y = 0 + 46 Combine like terms: 0 + 46 = 46 8y = 46 Divide each side by '8'. y = 5.75 Simplifying y = 5.75
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