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Simplifying 7(y + 2) + -1(2y + -5) = 41 Reorder the terms: 7(2 + y) + -1(2y + -5) = 41 (2 * 7 + y * 7) + -1(2y + -5) = 41 (14 + 7y) + -1(2y + -5) = 41 Reorder the terms: 14 + 7y + -1(-5 + 2y) = 41 14 + 7y + (-5 * -1 + 2y * -1) = 41 14 + 7y + (5 + -2y) = 41 Reorder the terms: 14 + 5 + 7y + -2y = 41 Combine like terms: 14 + 5 = 19 19 + 7y + -2y = 41 Combine like terms: 7y + -2y = 5y 19 + 5y = 41 Solving 19 + 5y = 41 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 5y = 41 + -19 Combine like terms: 19 + -19 = 0 0 + 5y = 41 + -19 5y = 41 + -19 Combine like terms: 41 + -19 = 22 5y = 22 Divide each side by '5'. y = 4.4 Simplifying y = 4.4
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