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Simplifying 9 + 12y + -8 = 8y + 61 + -6y Reorder the terms: 9 + -8 + 12y = 8y + 61 + -6y Combine like terms: 9 + -8 = 1 1 + 12y = 8y + 61 + -6y Reorder the terms: 1 + 12y = 61 + 8y + -6y Combine like terms: 8y + -6y = 2y 1 + 12y = 61 + 2y Solving 1 + 12y = 61 + 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. 1 + 12y + -2y = 61 + 2y + -2y Combine like terms: 12y + -2y = 10y 1 + 10y = 61 + 2y + -2y Combine like terms: 2y + -2y = 0 1 + 10y = 61 + 0 1 + 10y = 61 Add '-1' to each side of the equation. 1 + -1 + 10y = 61 + -1 Combine like terms: 1 + -1 = 0 0 + 10y = 61 + -1 10y = 61 + -1 Combine like terms: 61 + -1 = 60 10y = 60 Divide each side by '10'. y = 6 Simplifying y = 6
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