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Simplifying 3(y + 9) = 7y + 31 Reorder the terms: 3(9 + y) = 7y + 31 (9 * 3 + y * 3) = 7y + 31 (27 + 3y) = 7y + 31 Reorder the terms: 27 + 3y = 31 + 7y Solving 27 + 3y = 31 + 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. 27 + 3y + -7y = 31 + 7y + -7y Combine like terms: 3y + -7y = -4y 27 + -4y = 31 + 7y + -7y Combine like terms: 7y + -7y = 0 27 + -4y = 31 + 0 27 + -4y = 31 Add '-27' to each side of the equation. 27 + -27 + -4y = 31 + -27 Combine like terms: 27 + -27 = 0 0 + -4y = 31 + -27 -4y = 31 + -27 Combine like terms: 31 + -27 = 4 -4y = 4 Divide each side by '-4'. y = -1 Simplifying y = -1
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