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Simplifying 7(y + 5) + 3(16 + -1y) = 135 Reorder the terms: 7(5 + y) + 3(16 + -1y) = 135 (5 * 7 + y * 7) + 3(16 + -1y) = 135 (35 + 7y) + 3(16 + -1y) = 135 35 + 7y + (16 * 3 + -1y * 3) = 135 35 + 7y + (48 + -3y) = 135 Reorder the terms: 35 + 48 + 7y + -3y = 135 Combine like terms: 35 + 48 = 83 83 + 7y + -3y = 135 Combine like terms: 7y + -3y = 4y 83 + 4y = 135 Solving 83 + 4y = 135 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-83' to each side of the equation. 83 + -83 + 4y = 135 + -83 Combine like terms: 83 + -83 = 0 0 + 4y = 135 + -83 4y = 135 + -83 Combine like terms: 135 + -83 = 52 4y = 52 Divide each side by '4'. y = 13 Simplifying y = 13
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