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Click and drag like terms onto each other to simplify fully.

3y-7+2x+2y-1+6x

Click and drag like terms onto each other to simplify fully.\newline3y7+2x+2y1+6x 3 y-7+2 x+2 y-1+6 x

Full solution

Q. Click and drag like terms onto each other to simplify fully.\newline3y7+2x+2y1+6x 3 y-7+2 x+2 y-1+6 x
  1. Identify Like Terms: Identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power.\newlineIn this expression, the like terms are:\newline- 3y3y and 2y2y, which are both 'yy' terms.\newline- 2x2x and 6x6x, which are both 'xx' terms.\newline- 7-7 and 1-1, which are both constant terms.
  2. Combine 'y' Terms: Combine the 'y' terms by adding their coefficients. 3y+2y=5y3y + 2y = 5y
  3. Combine 'x' Terms: Combine the 'x' terms by adding their coefficients. 2x+6x=8x2x + 6x = 8x
  4. Combine Constant Terms: Combine the constant terms by adding their values.\newline7+(1)=8-7 + (-1) = -8
  5. Write Simplified Expression: Write the simplified expression by combining the results from the previous steps.\newlineThe simplified expression is 5y+8x85y + 8x - 8.

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