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Simplifying Y + -4(y + 3) = 2y + 12 Reorder the terms: Y + -4(3 + y) = 2y + 12 Y + (3 * -4 + y * -4) = 2y + 12 Y + (-12 + -4y) = 2y + 12 Reorder the terms: -12 + Y + -4y = 2y + 12 Reorder the terms: -12 + Y + -4y = 12 + 2y Solving -12 + Y + -4y = 12 + 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 + Y + 12 + -4y = 12 + 12 + 2y Reorder the terms: -12 + 12 + Y + -4y = 12 + 12 + 2y Combine like terms: -12 + 12 = 0 0 + Y + -4y = 12 + 12 + 2y Y + -4y = 12 + 12 + 2y Combine like terms: 12 + 12 = 24 Y + -4y = 24 + 2y Add '4y' to each side of the equation. Y + -4y + 4y = 24 + 2y + 4y Combine like terms: -4y + 4y = 0 Y + 0 = 24 + 2y + 4y Y = 24 + 2y + 4y Combine like terms: 2y + 4y = 6y Y = 24 + 6y Simplifying Y = 24 + 6y
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