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Simplifying y + -8 + 2y + -1(5y + 2) = 24 Reorder the terms: y + -8 + 2y + -1(2 + 5y) = 24 y + -8 + 2y + (2 * -1 + 5y * -1) = 24 y + -8 + 2y + (-2 + -5y) = 24 Reorder the terms: -8 + -2 + y + 2y + -5y = 24 Combine like terms: -8 + -2 = -10 -10 + y + 2y + -5y = 24 Combine like terms: y + 2y = 3y -10 + 3y + -5y = 24 Combine like terms: 3y + -5y = -2y -10 + -2y = 24 Solving -10 + -2y = 24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2y = 24 + 10 Combine like terms: -10 + 10 = 0 0 + -2y = 24 + 10 -2y = 24 + 10 Combine like terms: 24 + 10 = 34 -2y = 34 Divide each side by '-2'. y = -17 Simplifying y = -17
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