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Simplifying 3(y + -5) + 2(y + -1) = 24 Reorder the terms: 3(-5 + y) + 2(y + -1) = 24 (-5 * 3 + y * 3) + 2(y + -1) = 24 (-15 + 3y) + 2(y + -1) = 24 Reorder the terms: -15 + 3y + 2(-1 + y) = 24 -15 + 3y + (-1 * 2 + y * 2) = 24 -15 + 3y + (-2 + 2y) = 24 Reorder the terms: -15 + -2 + 3y + 2y = 24 Combine like terms: -15 + -2 = -17 -17 + 3y + 2y = 24 Combine like terms: 3y + 2y = 5y -17 + 5y = 24 Solving -17 + 5y = 24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 5y = 24 + 17 Combine like terms: -17 + 17 = 0 0 + 5y = 24 + 17 5y = 24 + 17 Combine like terms: 24 + 17 = 41 5y = 41 Divide each side by '5'. y = 8.2 Simplifying y = 8.2
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