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Simplifying (3y + -5) + (6y + 20) = 135 + y Reorder the terms: (-5 + 3y) + (6y + 20) = 135 + y Remove parenthesis around (-5 + 3y) -5 + 3y + (6y + 20) = 135 + y Reorder the terms: -5 + 3y + (20 + 6y) = 135 + y Remove parenthesis around (20 + 6y) -5 + 3y + 20 + 6y = 135 + y Reorder the terms: -5 + 20 + 3y + 6y = 135 + y Combine like terms: -5 + 20 = 15 15 + 3y + 6y = 135 + y Combine like terms: 3y + 6y = 9y 15 + 9y = 135 + y Solving 15 + 9y = 135 + 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. 15 + 9y + -1y = 135 + y + -1y Combine like terms: 9y + -1y = 8y 15 + 8y = 135 + y + -1y Combine like terms: y + -1y = 0 15 + 8y = 135 + 0 15 + 8y = 135 Add '-15' to each side of the equation. 15 + -15 + 8y = 135 + -15 Combine like terms: 15 + -15 = 0 0 + 8y = 135 + -15 8y = 135 + -15 Combine like terms: 135 + -15 = 120 8y = 120 Divide each side by '8'. y = 15 Simplifying y = 15
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