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Simplifying 2(y + -5) + 3(y + 3) = 24 Reorder the terms: 2(-5 + y) + 3(y + 3) = 24 (-5 * 2 + y * 2) + 3(y + 3) = 24 (-10 + 2y) + 3(y + 3) = 24 Reorder the terms: -10 + 2y + 3(3 + y) = 24 -10 + 2y + (3 * 3 + y * 3) = 24 -10 + 2y + (9 + 3y) = 24 Reorder the terms: -10 + 9 + 2y + 3y = 24 Combine like terms: -10 + 9 = -1 -1 + 2y + 3y = 24 Combine like terms: 2y + 3y = 5y -1 + 5y = 24 Solving -1 + 5y = 24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5y = 24 + 1 Combine like terms: -1 + 1 = 0 0 + 5y = 24 + 1 5y = 24 + 1 Combine like terms: 24 + 1 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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