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Simplifying -5 + 7y = 43 + -1y Solving -5 + 7y = 43 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -5 + 7y + y = 43 + -1y + y Combine like terms: 7y + y = 8y -5 + 8y = 43 + -1y + y Combine like terms: -1y + y = 0 -5 + 8y = 43 + 0 -5 + 8y = 43 Add '5' to each side of the equation. -5 + 5 + 8y = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 8y = 43 + 5 8y = 43 + 5 Combine like terms: 43 + 5 = 48 8y = 48 Divide each side by '8'. y = 6 Simplifying y = 6
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