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Simplifying 3(3Y + -11) + 4y = 32 Reorder the terms: 3(-11 + 3Y) + 4y = 32 (-11 * 3 + 3Y * 3) + 4y = 32 (-33 + 9Y) + 4y = 32 Solving -33 + 9Y + 4y = 32 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 9Y + 33 + 4y = 32 + 33 Reorder the terms: -33 + 33 + 9Y + 4y = 32 + 33 Combine like terms: -33 + 33 = 0 0 + 9Y + 4y = 32 + 33 9Y + 4y = 32 + 33 Combine like terms: 32 + 33 = 65 9Y + 4y = 65 Add '-4y' to each side of the equation. 9Y + 4y + -4y = 65 + -4y Combine like terms: 4y + -4y = 0 9Y + 0 = 65 + -4y 9Y = 65 + -4y Divide each side by '9'. Y = 7.222222222 + -0.4444444444y Simplifying Y = 7.222222222 + -0.4444444444y
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