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Simplifying 8 + 7y + -1 = 9y + 43 + -6y Reorder the terms: 8 + -1 + 7y = 9y + 43 + -6y Combine like terms: 8 + -1 = 7 7 + 7y = 9y + 43 + -6y Reorder the terms: 7 + 7y = 43 + 9y + -6y Combine like terms: 9y + -6y = 3y 7 + 7y = 43 + 3y Solving 7 + 7y = 43 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 7 + 7y + -3y = 43 + 3y + -3y Combine like terms: 7y + -3y = 4y 7 + 4y = 43 + 3y + -3y Combine like terms: 3y + -3y = 0 7 + 4y = 43 + 0 7 + 4y = 43 Add '-7' to each side of the equation. 7 + -7 + 4y = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 43 + -7 4y = 43 + -7 Combine like terms: 43 + -7 = 36 4y = 36 Divide each side by '4'. y = 9 Simplifying y = 9
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