6(y-2)-3(y+1)=8

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Solution for 6(y-2)-3(y+1)=8 equation: 


Simplifying
6(y + -2) + -3(y + 1) = 8

Reorder the terms:
6(-2 + y) + -3(y + 1) = 8
(-2 * 6 + y * 6) + -3(y + 1) = 8
(-12 + 6y) + -3(y + 1) = 8

Reorder the terms:
-12 + 6y + -3(1 + y) = 8
-12 + 6y + (1 * -3 + y * -3) = 8
-12 + 6y + (-3 + -3y) = 8

Reorder the terms:
-12 + -3 + 6y + -3y = 8

Combine like terms: -12 + -3 = -15
-15 + 6y + -3y = 8

Combine like terms: 6y + -3y = 3y
-15 + 3y = 8

Solving
-15 + 3y = 8

Solving for variable 'y'.

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

Add '15' to each side of the equation.
-15 + 15 + 3y = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 3y = 8 + 15
3y = 8 + 15

Combine like terms: 8 + 15 = 23
3y = 23

Divide each side by '3'.
y = 7.666666667

Simplifying
y = 7.666666667

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