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Simplifying Y + -1(5y + 2) = 6 + -1(7y + 4) Reorder the terms: Y + -1(2 + 5y) = 6 + -1(7y + 4) Y + (2 * -1 + 5y * -1) = 6 + -1(7y + 4) Y + (-2 + -5y) = 6 + -1(7y + 4) Reorder the terms: -2 + Y + -5y = 6 + -1(7y + 4) Reorder the terms: -2 + Y + -5y = 6 + -1(4 + 7y) -2 + Y + -5y = 6 + (4 * -1 + 7y * -1) -2 + Y + -5y = 6 + (-4 + -7y) Combine like terms: 6 + -4 = 2 -2 + Y + -5y = 2 + -7y Solving -2 + Y + -5y = 2 + -7y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + Y + 2 + -5y = 2 + 2 + -7y Reorder the terms: -2 + 2 + Y + -5y = 2 + 2 + -7y Combine like terms: -2 + 2 = 0 0 + Y + -5y = 2 + 2 + -7y Y + -5y = 2 + 2 + -7y Combine like terms: 2 + 2 = 4 Y + -5y = 4 + -7y Add '5y' to each side of the equation. Y + -5y + 5y = 4 + -7y + 5y Combine like terms: -5y + 5y = 0 Y + 0 = 4 + -7y + 5y Y = 4 + -7y + 5y Combine like terms: -7y + 5y = -2y Y = 4 + -2y Simplifying Y = 4 + -2y
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