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Simplifying 3(y + -5) + 2(y + 3) = 16 Reorder the terms: 3(-5 + y) + 2(y + 3) = 16 (-5 * 3 + y * 3) + 2(y + 3) = 16 (-15 + 3y) + 2(y + 3) = 16 Reorder the terms: -15 + 3y + 2(3 + y) = 16 -15 + 3y + (3 * 2 + y * 2) = 16 -15 + 3y + (6 + 2y) = 16 Reorder the terms: -15 + 6 + 3y + 2y = 16 Combine like terms: -15 + 6 = -9 -9 + 3y + 2y = 16 Combine like terms: 3y + 2y = 5y -9 + 5y = 16 Solving -9 + 5y = 16 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5y = 16 + 9 Combine like terms: -9 + 9 = 0 0 + 5y = 16 + 9 5y = 16 + 9 Combine like terms: 16 + 9 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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