6y+3(4-3y)=-5(y-8)+14

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Solution for 6y+3(4-3y)=-5(y-8)+14 equation: 



6y+3(4-3y)=-5(y-8)+14

We move all terms to the left:

6y+3(4-3y)-(-5(y-8)+14)=0

We add all the numbers together, and all the variables

6y+3(-3y+4)-(-5(y-8)+14)=0

We multiply parentheses

6y-9y-(-5(y-8)+14)+12=0



We calculate terms in parentheses: -(-5(y-8)+14), so:

-5(y-8)+14

We multiply parentheses

-5y+40+14

We add all the numbers together, and all the variables

-5y+54

Back to the equation:

-(-5y+54)



We add all the numbers together, and all the variables

-3y-(-5y+54)+12=0

We get rid of parentheses

-3y+5y-54+12=0

We add all the numbers together, and all the variables

2y-42=0

We move all terms containing y to the left, all other terms to the right

2y=42

y=42/2

y=21

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