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Simplifying 9Y + 3(y + -6) = 78 Reorder the terms: 9Y + 3(-6 + y) = 78 9Y + (-6 * 3 + y * 3) = 78 9Y + (-18 + 3y) = 78 Reorder the terms: -18 + 9Y + 3y = 78 Solving -18 + 9Y + 3y = 78 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 9Y + 18 + 3y = 78 + 18 Reorder the terms: -18 + 18 + 9Y + 3y = 78 + 18 Combine like terms: -18 + 18 = 0 0 + 9Y + 3y = 78 + 18 9Y + 3y = 78 + 18 Combine like terms: 78 + 18 = 96 9Y + 3y = 96 Add '-3y' to each side of the equation. 9Y + 3y + -3y = 96 + -3y Combine like terms: 3y + -3y = 0 9Y + 0 = 96 + -3y 9Y = 96 + -3y Divide each side by '9'. Y = 10.66666667 + -0.3333333333y Simplifying Y = 10.66666667 + -0.3333333333y
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