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Simplifying 5(y + 7) = y + 71 Reorder the terms: 5(7 + y) = y + 71 (7 * 5 + y * 5) = y + 71 (35 + 5y) = y + 71 Reorder the terms: 35 + 5y = 71 + y Solving 35 + 5y = 71 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 35 + 5y + -1y = 71 + y + -1y Combine like terms: 5y + -1y = 4y 35 + 4y = 71 + y + -1y Combine like terms: y + -1y = 0 35 + 4y = 71 + 0 35 + 4y = 71 Add '-35' to each side of the equation. 35 + -35 + 4y = 71 + -35 Combine like terms: 35 + -35 = 0 0 + 4y = 71 + -35 4y = 71 + -35 Combine like terms: 71 + -35 = 36 4y = 36 Divide each side by '4'. y = 9 Simplifying y = 9
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