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Simplifying -7y + 11y + 5 = 2y + 31 Reorder the terms: 5 + -7y + 11y = 2y + 31 Combine like terms: -7y + 11y = 4y 5 + 4y = 2y + 31 Reorder the terms: 5 + 4y = 31 + 2y Solving 5 + 4y = 31 + 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. 5 + 4y + -2y = 31 + 2y + -2y Combine like terms: 4y + -2y = 2y 5 + 2y = 31 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + 2y = 31 + 0 5 + 2y = 31 Add '-5' to each side of the equation. 5 + -5 + 2y = 31 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 31 + -5 2y = 31 + -5 Combine like terms: 31 + -5 = 26 2y = 26 Divide each side by '2'. y = 13 Simplifying y = 13
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