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Simplifying 6y + -8 + y = 2(5 + -1y) Reorder the terms: -8 + 6y + y = 2(5 + -1y) Combine like terms: 6y + y = 7y -8 + 7y = 2(5 + -1y) -8 + 7y = (5 * 2 + -1y * 2) -8 + 7y = (10 + -2y) Solving -8 + 7y = 10 + -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. -8 + 7y + 2y = 10 + -2y + 2y Combine like terms: 7y + 2y = 9y -8 + 9y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 -8 + 9y = 10 + 0 -8 + 9y = 10 Add '8' to each side of the equation. -8 + 8 + 9y = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 9y = 10 + 8 9y = 10 + 8 Combine like terms: 10 + 8 = 18 9y = 18 Divide each side by '9'. y = 2 Simplifying y = 2
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