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Simplifying (Y + 4) * 3 + -6y = 2(3 + -2y) Reorder the terms: (4 + Y) * 3 + -6y = 2(3 + -2y) Reorder the terms for easier multiplication: 3(4 + Y) + -6y = 2(3 + -2y) (4 * 3 + Y * 3) + -6y = 2(3 + -2y) (12 + 3Y) + -6y = 2(3 + -2y) 12 + 3Y + -6y = (3 * 2 + -2y * 2) 12 + 3Y + -6y = (6 + -4y) Solving 12 + 3Y + -6y = 6 + -4y 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 + 3Y + -12 + -6y = 6 + -12 + -4y Reorder the terms: 12 + -12 + 3Y + -6y = 6 + -12 + -4y Combine like terms: 12 + -12 = 0 0 + 3Y + -6y = 6 + -12 + -4y 3Y + -6y = 6 + -12 + -4y Combine like terms: 6 + -12 = -6 3Y + -6y = -6 + -4y Add '6y' to each side of the equation. 3Y + -6y + 6y = -6 + -4y + 6y Combine like terms: -6y + 6y = 0 3Y + 0 = -6 + -4y + 6y 3Y = -6 + -4y + 6y Combine like terms: -4y + 6y = 2y 3Y = -6 + 2y Divide each side by '3'. Y = -2 + 0.6666666667y Simplifying Y = -2 + 0.6666666667y
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