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Simplifying y + 6y = 45 + -2y Combine like terms: y + 6y = 7y 7y = 45 + -2y Solving 7y = 45 + -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. 7y + 2y = 45 + -2y + 2y Combine like terms: 7y + 2y = 9y 9y = 45 + -2y + 2y Combine like terms: -2y + 2y = 0 9y = 45 + 0 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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