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Simplifying 26y + -1(-24y + 23) = -1(-17y + -10) + (24y + 25) Reorder the terms: 26y + -1(23 + -24y) = -1(-17y + -10) + (24y + 25) 26y + (23 * -1 + -24y * -1) = -1(-17y + -10) + (24y + 25) 26y + (-23 + 24y) = -1(-17y + -10) + (24y + 25) Reorder the terms: -23 + 26y + 24y = -1(-17y + -10) + (24y + 25) Combine like terms: 26y + 24y = 50y -23 + 50y = -1(-17y + -10) + (24y + 25) Reorder the terms: -23 + 50y = -1(-10 + -17y) + (24y + 25) -23 + 50y = (-10 * -1 + -17y * -1) + (24y + 25) -23 + 50y = (10 + 17y) + (24y + 25) Reorder the terms: -23 + 50y = 10 + 17y + (25 + 24y) Remove parenthesis around (25 + 24y) -23 + 50y = 10 + 17y + 25 + 24y Reorder the terms: -23 + 50y = 10 + 25 + 17y + 24y Combine like terms: 10 + 25 = 35 -23 + 50y = 35 + 17y + 24y Combine like terms: 17y + 24y = 41y -23 + 50y = 35 + 41y Solving -23 + 50y = 35 + 41y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-41y' to each side of the equation. -23 + 50y + -41y = 35 + 41y + -41y Combine like terms: 50y + -41y = 9y -23 + 9y = 35 + 41y + -41y Combine like terms: 41y + -41y = 0 -23 + 9y = 35 + 0 -23 + 9y = 35 Add '23' to each side of the equation. -23 + 23 + 9y = 35 + 23 Combine like terms: -23 + 23 = 0 0 + 9y = 35 + 23 9y = 35 + 23 Combine like terms: 35 + 23 = 58 9y = 58 Divide each side by '9'. y = 6.444444444 Simplifying y = 6.444444444
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