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Simplifying 7(y + 2) + -1(4y + -10) = 44 + -2y + 5 Reorder the terms: 7(2 + y) + -1(4y + -10) = 44 + -2y + 5 (2 * 7 + y * 7) + -1(4y + -10) = 44 + -2y + 5 (14 + 7y) + -1(4y + -10) = 44 + -2y + 5 Reorder the terms: 14 + 7y + -1(-10 + 4y) = 44 + -2y + 5 14 + 7y + (-10 * -1 + 4y * -1) = 44 + -2y + 5 14 + 7y + (10 + -4y) = 44 + -2y + 5 Reorder the terms: 14 + 10 + 7y + -4y = 44 + -2y + 5 Combine like terms: 14 + 10 = 24 24 + 7y + -4y = 44 + -2y + 5 Combine like terms: 7y + -4y = 3y 24 + 3y = 44 + -2y + 5 Reorder the terms: 24 + 3y = 44 + 5 + -2y Combine like terms: 44 + 5 = 49 24 + 3y = 49 + -2y Solving 24 + 3y = 49 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 24 + 3y + 2y = 49 + -2y + 2y Combine like terms: 3y + 2y = 5y 24 + 5y = 49 + -2y + 2y Combine like terms: -2y + 2y = 0 24 + 5y = 49 + 0 24 + 5y = 49 Add '-24' to each side of the equation. 24 + -24 + 5y = 49 + -24 Combine like terms: 24 + -24 = 0 0 + 5y = 49 + -24 5y = 49 + -24 Combine like terms: 49 + -24 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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