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Simplifying (Y + -12) + (6x + -32) = (3y + -8) + (2x + -20) Reorder the terms: (-12 + Y) + (6x + -32) = (3y + -8) + (2x + -20) Remove parenthesis around (-12 + Y) -12 + Y + (6x + -32) = (3y + -8) + (2x + -20) Reorder the terms: -12 + Y + (-32 + 6x) = (3y + -8) + (2x + -20) Remove parenthesis around (-32 + 6x) -12 + Y + -32 + 6x = (3y + -8) + (2x + -20) Reorder the terms: -12 + -32 + Y + 6x = (3y + -8) + (2x + -20) Combine like terms: -12 + -32 = -44 -44 + Y + 6x = (3y + -8) + (2x + -20) Reorder the terms: -44 + Y + 6x = (-8 + 3y) + (2x + -20) Remove parenthesis around (-8 + 3y) -44 + Y + 6x = -8 + 3y + (2x + -20) Reorder the terms: -44 + Y + 6x = -8 + 3y + (-20 + 2x) Remove parenthesis around (-20 + 2x) -44 + Y + 6x = -8 + 3y + -20 + 2x Reorder the terms: -44 + Y + 6x = -8 + -20 + 2x + 3y Combine like terms: -8 + -20 = -28 -44 + Y + 6x = -28 + 2x + 3y Solving -44 + Y + 6x = -28 + 2x + 3y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '44' to each side of the equation. -44 + Y + 44 + 6x = -28 + 2x + 44 + 3y Reorder the terms: -44 + 44 + Y + 6x = -28 + 2x + 44 + 3y Combine like terms: -44 + 44 = 0 0 + Y + 6x = -28 + 2x + 44 + 3y Y + 6x = -28 + 2x + 44 + 3y Reorder the terms: Y + 6x = -28 + 44 + 2x + 3y Combine like terms: -28 + 44 = 16 Y + 6x = 16 + 2x + 3y Add '-6x' to each side of the equation. Y + 6x + -6x = 16 + 2x + -6x + 3y Combine like terms: 6x + -6x = 0 Y + 0 = 16 + 2x + -6x + 3y Y = 16 + 2x + -6x + 3y Combine like terms: 2x + -6x = -4x Y = 16 + -4x + 3y Simplifying Y = 16 + -4x + 3y
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