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Simplifying Y + -7(y + 2) = 3y + 13 Reorder the terms: Y + -7(2 + y) = 3y + 13 Y + (2 * -7 + y * -7) = 3y + 13 Y + (-14 + -7y) = 3y + 13 Reorder the terms: -14 + Y + -7y = 3y + 13 Reorder the terms: -14 + Y + -7y = 13 + 3y Solving -14 + Y + -7y = 13 + 3y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + Y + 14 + -7y = 13 + 14 + 3y Reorder the terms: -14 + 14 + Y + -7y = 13 + 14 + 3y Combine like terms: -14 + 14 = 0 0 + Y + -7y = 13 + 14 + 3y Y + -7y = 13 + 14 + 3y Combine like terms: 13 + 14 = 27 Y + -7y = 27 + 3y Add '7y' to each side of the equation. Y + -7y + 7y = 27 + 3y + 7y Combine like terms: -7y + 7y = 0 Y + 0 = 27 + 3y + 7y Y = 27 + 3y + 7y Combine like terms: 3y + 7y = 10y Y = 27 + 10y Simplifying Y = 27 + 10y
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