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Simplifying 33(y + -10) + 29y + 3(y + -5) = 945 Reorder the terms: 33(-10 + y) + 29y + 3(y + -5) = 945 (-10 * 33 + y * 33) + 29y + 3(y + -5) = 945 (-330 + 33y) + 29y + 3(y + -5) = 945 Reorder the terms: -330 + 33y + 29y + 3(-5 + y) = 945 -330 + 33y + 29y + (-5 * 3 + y * 3) = 945 -330 + 33y + 29y + (-15 + 3y) = 945 Reorder the terms: -330 + -15 + 33y + 29y + 3y = 945 Combine like terms: -330 + -15 = -345 -345 + 33y + 29y + 3y = 945 Combine like terms: 33y + 29y = 62y -345 + 62y + 3y = 945 Combine like terms: 62y + 3y = 65y -345 + 65y = 945 Solving -345 + 65y = 945 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '345' to each side of the equation. -345 + 345 + 65y = 945 + 345 Combine like terms: -345 + 345 = 0 0 + 65y = 945 + 345 65y = 945 + 345 Combine like terms: 945 + 345 = 1290 65y = 1290 Divide each side by '65'. y = 19.84615385 Simplifying y = 19.84615385
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