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Simplifying (Y + -4) + -1(y + -4) = 7y Reorder the terms: (-4 + Y) + -1(y + -4) = 7y Remove parenthesis around (-4 + Y) -4 + Y + -1(y + -4) = 7y Reorder the terms: -4 + Y + -1(-4 + y) = 7y -4 + Y + (-4 * -1 + y * -1) = 7y -4 + Y + (4 + -1y) = 7y Reorder the terms: -4 + 4 + Y + -1y = 7y Combine like terms: -4 + 4 = 0 0 + Y + -1y = 7y Y + -1y = 7y Solving Y + -1y = 7y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add 'y' to each side of the equation. Y + -1y + y = 7y + y Combine like terms: -1y + y = 0 Y + 0 = 7y + y Y = 7y + y Combine like terms: 7y + y = 8y Y = 8y Simplifying Y = 8y
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