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Simplifying -2y + -3(4 + -2Y) = 2(y + -3) + 6 -2y + (4 * -3 + -2Y * -3) = 2(y + -3) + 6 -2y + (-12 + 6Y) = 2(y + -3) + 6 Reorder the terms: -12 + 6Y + -2y = 2(y + -3) + 6 Reorder the terms: -12 + 6Y + -2y = 2(-3 + y) + 6 -12 + 6Y + -2y = (-3 * 2 + y * 2) + 6 -12 + 6Y + -2y = (-6 + 2y) + 6 Reorder the terms: -12 + 6Y + -2y = -6 + 6 + 2y Combine like terms: -6 + 6 = 0 -12 + 6Y + -2y = 0 + 2y -12 + 6Y + -2y = 2y Solving -12 + 6Y + -2y = 2y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 6Y + 12 + -2y = 12 + 2y Reorder the terms: -12 + 12 + 6Y + -2y = 12 + 2y Combine like terms: -12 + 12 = 0 0 + 6Y + -2y = 12 + 2y 6Y + -2y = 12 + 2y Add '2y' to each side of the equation. 6Y + -2y + 2y = 12 + 2y + 2y Combine like terms: -2y + 2y = 0 6Y + 0 = 12 + 2y + 2y 6Y = 12 + 2y + 2y Combine like terms: 2y + 2y = 4y 6Y = 12 + 4y Divide each side by '6'. Y = 2 + 0.6666666667y Simplifying Y = 2 + 0.6666666667y
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