-8+3(-7y-6)=3(-9y+1)+6

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Solution for -8+3(-7y-6)=3(-9y+1)+6 equation: 


Simplifying
-8 + 3(-7y + -6) = 3(-9y + 1) + 6

Reorder the terms:
-8 + 3(-6 + -7y) = 3(-9y + 1) + 6
-8 + (-6 * 3 + -7y * 3) = 3(-9y + 1) + 6
-8 + (-18 + -21y) = 3(-9y + 1) + 6

Combine like terms: -8 + -18 = -26
-26 + -21y = 3(-9y + 1) + 6

Reorder the terms:
-26 + -21y = 3(1 + -9y) + 6
-26 + -21y = (1 * 3 + -9y * 3) + 6
-26 + -21y = (3 + -27y) + 6

Reorder the terms:
-26 + -21y = 3 + 6 + -27y

Combine like terms: 3 + 6 = 9
-26 + -21y = 9 + -27y

Solving
-26 + -21y = 9 + -27y

Solving for variable 'y'.

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

Add '27y' to each side of the equation.
-26 + -21y + 27y = 9 + -27y + 27y

Combine like terms: -21y + 27y = 6y
-26 + 6y = 9 + -27y + 27y

Combine like terms: -27y + 27y = 0
-26 + 6y = 9 + 0
-26 + 6y = 9

Add '26' to each side of the equation.
-26 + 26 + 6y = 9 + 26

Combine like terms: -26 + 26 = 0
0 + 6y = 9 + 26
6y = 9 + 26

Combine like terms: 9 + 26 = 35
6y = 35

Divide each side by '6'.
y = 5.833333333

Simplifying
y = 5.833333333

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