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Simplifying 11 + 2y = 6(y + 1) + y Reorder the terms: 11 + 2y = 6(1 + y) + y 11 + 2y = (1 * 6 + y * 6) + y 11 + 2y = (6 + 6y) + y Combine like terms: 6y + y = 7y 11 + 2y = 6 + 7y Solving 11 + 2y = 6 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 11 + 2y + -7y = 6 + 7y + -7y Combine like terms: 2y + -7y = -5y 11 + -5y = 6 + 7y + -7y Combine like terms: 7y + -7y = 0 11 + -5y = 6 + 0 11 + -5y = 6 Add '-11' to each side of the equation. 11 + -11 + -5y = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -5y = 6 + -11 -5y = 6 + -11 Combine like terms: 6 + -11 = -5 -5y = -5 Divide each side by '-5'. y = 1 Simplifying y = 1
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