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Simplifying Y + -7(y + -3) = (-9y + 7) + -2 Reorder the terms: Y + -7(-3 + y) = (-9y + 7) + -2 Y + (-3 * -7 + y * -7) = (-9y + 7) + -2 Y + (21 + -7y) = (-9y + 7) + -2 Reorder the terms: 21 + Y + -7y = (-9y + 7) + -2 Reorder the terms: 21 + Y + -7y = (7 + -9y) + -2 Remove parenthesis around (7 + -9y) 21 + Y + -7y = 7 + -9y + -2 Reorder the terms: 21 + Y + -7y = 7 + -2 + -9y Combine like terms: 7 + -2 = 5 21 + Y + -7y = 5 + -9y Solving 21 + Y + -7y = 5 + -9y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + Y + -21 + -7y = 5 + -21 + -9y Reorder the terms: 21 + -21 + Y + -7y = 5 + -21 + -9y Combine like terms: 21 + -21 = 0 0 + Y + -7y = 5 + -21 + -9y Y + -7y = 5 + -21 + -9y Combine like terms: 5 + -21 = -16 Y + -7y = -16 + -9y Add '7y' to each side of the equation. Y + -7y + 7y = -16 + -9y + 7y Combine like terms: -7y + 7y = 0 Y + 0 = -16 + -9y + 7y Y = -16 + -9y + 7y Combine like terms: -9y + 7y = -2y Y = -16 + -2y Simplifying Y = -16 + -2y
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