-4(y-6)+(y+8)=12

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Solution for -4(y-6)+(y+8)=12 equation: 


Simplifying
-4(y + -6) + (y + 8) = 12

Reorder the terms:
-4(-6 + y) + (y + 8) = 12
(-6 * -4 + y * -4) + (y + 8) = 12
(24 + -4y) + (y + 8) = 12

Reorder the terms:
24 + -4y + (8 + y) = 12

Remove parenthesis around (8 + y)
24 + -4y + 8 + y = 12

Reorder the terms:
24 + 8 + -4y + y = 12

Combine like terms: 24 + 8 = 32
32 + -4y + y = 12

Combine like terms: -4y + y = -3y
32 + -3y = 12

Solving
32 + -3y = 12

Solving for variable 'y'.

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

Add '-32' to each side of the equation.
32 + -32 + -3y = 12 + -32

Combine like terms: 32 + -32 = 0
0 + -3y = 12 + -32
-3y = 12 + -32

Combine like terms: 12 + -32 = -20
-3y = -20

Divide each side by '-3'.
y = 6.666666667

Simplifying
y = 6.666666667

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