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Simplify the expression. Write your answers using integers or improper fractions. -(-2y+8)+(1)/(2)y Answer:

Simplify the expression. Write your answers using integers or improper fractions.\newline−(−2y+8)+12y -(-2 y+8)+\frac{1}{2} y \newlineAnswer:

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Full solution

Q. Simplify the expression. Write your answers using integers or improper fractions.\newline−(−2y+8)+12y -(-2 y+8)+\frac{1}{2} y \newlineAnswer:
  1. Distribute Negative Sign: First, we need to distribute the negative sign across the terms inside the parentheses. −(−2y)-(-2y) becomes +2y+2y, and −8-8 becomes −8-8.
  2. Combine Like Terms: Now we combine the like terms. We have 2y2y from the first expression and (1/2)y(1/2)y from the second expression.\newline2y+(1/2)y=(4/2)y+(1/2)y=(5/2)y2y + (1/2)y = (4/2)y + (1/2)y = (5/2)y
  3. Subtract Constant: Finally, we subtract 88 from the (52)y(\frac{5}{2})y term, since there are no like terms to combine with −8-8. (52)y−8(\frac{5}{2})y - 8 is the simplified expression.

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