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Simplifying 7 + 7y + -5 = 8y + 10 + -2y Reorder the terms: 7 + -5 + 7y = 8y + 10 + -2y Combine like terms: 7 + -5 = 2 2 + 7y = 8y + 10 + -2y Reorder the terms: 2 + 7y = 10 + 8y + -2y Combine like terms: 8y + -2y = 6y 2 + 7y = 10 + 6y Solving 2 + 7y = 10 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2 + 7y + -6y = 10 + 6y + -6y Combine like terms: 7y + -6y = 1y 2 + 1y = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + 1y = 10 + 0 2 + 1y = 10 Add '-2' to each side of the equation. 2 + -2 + 1y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 10 + -2 1y = 10 + -2 Combine like terms: 10 + -2 = 8 1y = 8 Divide each side by '1'. y = 8 Simplifying y = 8
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