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Simplifying 8 + 6y + -1 = 9y + 35 + -7y Reorder the terms: 8 + -1 + 6y = 9y + 35 + -7y Combine like terms: 8 + -1 = 7 7 + 6y = 9y + 35 + -7y Reorder the terms: 7 + 6y = 35 + 9y + -7y Combine like terms: 9y + -7y = 2y 7 + 6y = 35 + 2y Solving 7 + 6y = 35 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 7 + 6y + -2y = 35 + 2y + -2y Combine like terms: 6y + -2y = 4y 7 + 4y = 35 + 2y + -2y Combine like terms: 2y + -2y = 0 7 + 4y = 35 + 0 7 + 4y = 35 Add '-7' to each side of the equation. 7 + -7 + 4y = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 35 + -7 4y = 35 + -7 Combine like terms: 35 + -7 = 28 4y = 28 Divide each side by '4'. y = 7 Simplifying y = 7
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