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Simplifying 2(17 + -3y) + 6Y = 34 (17 * 2 + -3y * 2) + 6Y = 34 (34 + -6y) + 6Y = 34 Reorder the terms: 34 + 6Y + -6y = 34 Add '-34' to each side of the equation. 34 + 6Y + -34 + -6y = 34 + -34 Reorder the terms: 34 + -34 + 6Y + -6y = 34 + -34 Combine like terms: 34 + -34 = 0 0 + 6Y + -6y = 34 + -34 6Y + -6y = 34 + -34 Combine like terms: 34 + -34 = 0 6Y + -6y = 0 Solving 6Y + -6y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '6y' to each side of the equation. 6Y + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 6Y + 0 = 0 + 6y 6Y = 0 + 6y Remove the zero: 6Y = 6y Divide each side by '6'. Y = y Simplifying Y = y
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