6y+3(y-9)=5(y+1)-3

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Solution for 6y+3(y-9)=5(y+1)-3 equation: 


Simplifying
6y + 3(y + -9) = 5(y + 1) + -3

Reorder the terms:
6y + 3(-9 + y) = 5(y + 1) + -3
6y + (-9 * 3 + y * 3) = 5(y + 1) + -3
6y + (-27 + 3y) = 5(y + 1) + -3

Reorder the terms:
-27 + 6y + 3y = 5(y + 1) + -3

Combine like terms: 6y + 3y = 9y
-27 + 9y = 5(y + 1) + -3

Reorder the terms:
-27 + 9y = 5(1 + y) + -3
-27 + 9y = (1 * 5 + y * 5) + -3
-27 + 9y = (5 + 5y) + -3

Reorder the terms:
-27 + 9y = 5 + -3 + 5y

Combine like terms: 5 + -3 = 2
-27 + 9y = 2 + 5y

Solving
-27 + 9y = 2 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
-27 + 9y + -5y = 2 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-27 + 4y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-27 + 4y = 2 + 0
-27 + 4y = 2

Add '27' to each side of the equation.
-27 + 27 + 4y = 2 + 27

Combine like terms: -27 + 27 = 0
0 + 4y = 2 + 27
4y = 2 + 27

Combine like terms: 2 + 27 = 29
4y = 29

Divide each side by '4'.
y = 7.25

Simplifying
y = 7.25

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