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# Solve the equation $\frac{5y}{7}-\frac{6}{7}=2-4y$

## Step-by-step Solution

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###  Videos

$y=\frac{20}{33}$
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##  Step-by-step Solution 

Problem to solve:

$\frac{5y}{7}-\frac{6}{7}=2-4y$

Specify the solving method

1

Factor the polynomial $2-4y$ by it's greatest common factor (GCF): $2$

$\frac{5y}{7}-\frac{6}{7}=2\left(1-2y\right)$

Learn how to solve one-variable linear equations problems step by step online.

$\frac{5y}{7}-\frac{6}{7}=2\left(1-2y\right)$

Learn how to solve one-variable linear equations problems step by step online. Solve the equation (5y)/7-6/7=2-4y. Factor the polynomial 2-4y by it's greatest common factor (GCF): 2. Combine all terms into a single fraction with 7 as common denominator. Solve the product 2\left(1-2y\right). Multiply both sides of the equation by 7.

$y=\frac{20}{33}$

$y=0.6060606060606061$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for yFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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a
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x
y
z
.
(◻)
+
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◻/◻
/
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e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Main topic:

One-variable linear equations

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