Question

solve 3y+4 (2-6y)= -2/5
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Answer 1

Answer:

y=2/5

Step-by-step explanation:

Solve

1

Rearrange terms

3+4(2−6)=−25

3y+4({\color{#c92786}{2-6y}})=\frac{-2}{5}3y+4(2−6y)=5−2

3+4(−6+2)=−25

3y+4({\color{#c92786}{-6y+2}})=\frac{-2}{5}3y+4(−6y+2)=5−2

2

Distribute

3+4(−6+2)=−25

3y+{\color{#c92786}{4(-6y+2)}}=\frac{-2}{5}3y+4(−6y+2)=5−2

3−24+8=−25

3y{\color{#c92786}{-24y+8}}=\frac{-2}{5}3y−24y+8=5−2

3

Combine like terms

3−24+8=−25

{\color{#c92786}{3y}}{\color{#c92786}{-24y}}+8=\frac{-2}{5}3y−24y+8=5−2

−21+8=−25

{\color{#c92786}{-21y}}+8=\frac{-2}{5}−21y+8=5−2

4

Subtract 

8

88

 from both sides of the equation

−21+8=−25

-21y+8=-\frac{2}{5}−21y+8=−52

−21+8−8=−25−8

-21y+8{\color{#c92786}{-8}}=-\frac{2}{5}{\color{#c92786}{-8}}−21y+8−8=−52−8

5

Simplify

Subtract the numbers

Subtract the numbers

−21=−425

-21y=-\frac{42}{5}−21y=−542

6

Divide both sides of the equation by the same term

−21=−425

-21y=-\frac{42}{5}−21y=−542

−21−21=−425−21

\frac{-21y}{{\color{#c92786}{-21}}}=\frac{-\frac{42}{5}}{{\color{#c92786}{-21}}}−21−21y=−21−542

7

Simplify

Cancel terms that are in both the numerator and denominator

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Answer 2

Answer:

18y(-y-1)=-42/5

Step-by-step explanation:

3y+4×(2-6y)=-2/5

-18y^2+8-18y=-2/5

-18y^2-18y=-42/5

18y(-y-1)=-42/5