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Simplifying 7 = 3 + -2(3Y + 7) + 6y Reorder the terms: 7 = 3 + -2(7 + 3Y) + 6y 7 = 3 + (7 * -2 + 3Y * -2) + 6y 7 = 3 + (-14 + -6Y) + 6y Combine like terms: 3 + -14 = -11 7 = -11 + -6Y + 6y Solving 7 = -11 + -6Y + 6y 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. 7 + 6Y = -11 + -6Y + 6Y + 6y Combine like terms: -6Y + 6Y = 0 7 + 6Y = -11 + 0 + 6y 7 + 6Y = -11 + 6y Add '-7' to each side of the equation. 7 + -7 + 6Y = -11 + -7 + 6y Combine like terms: 7 + -7 = 0 0 + 6Y = -11 + -7 + 6y 6Y = -11 + -7 + 6y Combine like terms: -11 + -7 = -18 6Y = -18 + 6y Divide each side by '6'. Y = -3 + y Simplifying Y = -3 + y
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