6y+3(y-9)=4(y+7)-3

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Solution for 6y+3(y-9)=4(y+7)-3 equation:


Simplifying
6y + 3(y + -9) = 4(y + 7) + -3

Reorder the terms:
6y + 3(-9 + y) = 4(y + 7) + -3
6y + (-9 * 3 + y * 3) = 4(y + 7) + -3
6y + (-27 + 3y) = 4(y + 7) + -3

Reorder the terms:
-27 + 6y + 3y = 4(y + 7) + -3

Combine like terms: 6y + 3y = 9y
-27 + 9y = 4(y + 7) + -3

Reorder the terms:
-27 + 9y = 4(7 + y) + -3
-27 + 9y = (7 * 4 + y * 4) + -3
-27 + 9y = (28 + 4y) + -3

Reorder the terms:
-27 + 9y = 28 + -3 + 4y

Combine like terms: 28 + -3 = 25
-27 + 9y = 25 + 4y

Solving
-27 + 9y = 25 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-27 + 9y + -4y = 25 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-27 + 5y = 25 + 4y + -4y

Combine like terms: 4y + -4y = 0
-27 + 5y = 25 + 0
-27 + 5y = 25

Add '27' to each side of the equation.
-27 + 27 + 5y = 25 + 27

Combine like terms: -27 + 27 = 0
0 + 5y = 25 + 27
5y = 25 + 27

Combine like terms: 25 + 27 = 52
5y = 52

Divide each side by '5'.
y = 10.4

Simplifying
y = 10.4

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