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14 – (2y + 5) = -2y + 9

2 Answers

1 vote

Answer:

The answer is all real numbers

Explanation:

Simpify both sides of the equation: 14−(2y+5)=−2y+9

14+−1(2y+5)=−2y+9(Distribute the Negative Sign)

14+−1(2y)+(−1)(5)=−2y+9

14+−2y+−5=−2y+9

(−2y)+(14+−5)=−2y+9(Combine Like Terms)

−2y+9=−2y+9

−2y+9=−2y+9

Then add 2y to each side. −2y+9+2y=−2y+9+2y

9=9. Then subtract 9 from each side. 9-9=9-9=0. That means that all real numbers is the answer.

User Ramesh Subramanian
by
4.6k points
5 votes

Hey there!


Answer:\boxed{\text{All are solutions}}


Explanation:


14-(2y+5)=-2y+9 Equation

14−(2y+5)=−2y+9 Simplify both sides

14 + -1(2y + 5) = −2y + 9 Distribute Negative

14 + -1(2y) + (-1)(5) = -2y + 9

14 + −2y + −5 = −2y + 9

(−2y) + (14 + −5) = −2y + 9 Combine the like terms

−2y + 9 = −2y + 9

-2y + 9 + 2y = -2y + 9 + 2y Add 2y to both sides

9 = 9

9 - 9 = 9 - 9 Subtract 9 from both sides

0 = 0

All are solutions.

Hope this helps!

User Amantel
by
3.8k points