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ozzi
3 years ago
13

4-(2y-1)=2(5y+9)+y please help quick

Mathematics
2 answers:
stich3 [128]3 years ago
7 0

Step-by-step explanation:Step 1: Simplify both sides of the equation.

4−(2y−1)=2(5y+9)+y

4+−1(2y−1)=2(5y+9)+y(Distribute the Negative Sign)

4+−1(2y)+(−1)(−1)=2(5y+9)+y

4+−2y+1=2(5y+9)+y

4+−2y+1=(2)(5y)+(2)(9)+y(Distribute)

4+−2y+1=10y+18+y

(−2y)+(4+1)=(10y+y)+(18)(Combine Like Terms)

−2y+5=11y+18

−2y+5=11y+18

Step 2: Subtract 11y from both sides.

−2y+5−11y=11y+18−11y

−13y+5=18

Step 3: Subtract 5 from both sides.

−13y+5−5=18−5

−13y=13

Step 4: Divide both sides by -13.

−13y

−13

=

13

−13

y=−1

 Answer: y =-1

kiruha [24]3 years ago
3 0

Here, this is a linear equation in one variable because only one variable is there, y. We need to find the solution i.e the value of y.

Given, equation:

4 - (2y - 1) = 2(5y + 9) + y

We need to find y, So let's isolate y in any one side of the equation. Before that, let's open the parentheses.

4 - 2y + 1 = 10y + 18 + y

5 - 2y = 11y + 18

Now, let's add 2y to both sides, So that -2y on the left hand side gets cancel.

5 - 2y + 2y = 11y + 18 + 2y

5 = 13y + 18

Flipping the equation for easy calculation,

13y + 18 = 5

Solving further,

13y =  - 13

y =  \frac{ - 13}{13}

\boxed{y =  - 1}

Hence, we are done !!

<u>━━━━━━━━━━━━━━━━━━━━</u>

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