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Simplifying (Y + -8) + -1(y + 4) = 3y Reorder the terms: (-8 + Y) + -1(y + 4) = 3y Remove parenthesis around (-8 + Y) -8 + Y + -1(y + 4) = 3y Reorder the terms: -8 + Y + -1(4 + y) = 3y -8 + Y + (4 * -1 + y * -1) = 3y -8 + Y + (-4 + -1y) = 3y Reorder the terms: -8 + -4 + Y + -1y = 3y Combine like terms: -8 + -4 = -12 -12 + Y + -1y = 3y Solving -12 + Y + -1y = 3y 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 + -1y = 12 + 3y Reorder the terms: -12 + 12 + Y + -1y = 12 + 3y Combine like terms: -12 + 12 = 0 0 + Y + -1y = 12 + 3y Y + -1y = 12 + 3y Add 'y' to each side of the equation. Y + -1y + y = 12 + 3y + y Combine like terms: -1y + y = 0 Y + 0 = 12 + 3y + y Y = 12 + 3y + y Combine like terms: 3y + y = 4y Y = 12 + 4y Simplifying Y = 12 + 4y
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