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Simplifying 6y + 2 = -1y + 12 Reorder the terms: 2 + 6y = -1y + 12 Reorder the terms: 2 + 6y = 12 + -1y Solving 2 + 6y = 12 + -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. 2 + 6y + y = 12 + -1y + y Combine like terms: 6y + y = 7y 2 + 7y = 12 + -1y + y Combine like terms: -1y + y = 0 2 + 7y = 12 + 0 2 + 7y = 12 Add '-2' to each side of the equation. 2 + -2 + 7y = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 7y = 12 + -2 7y = 12 + -2 Combine like terms: 12 + -2 = 10 7y = 10 Divide each side by '7'. y = 1.428571429 Simplifying y = 1.428571429
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