y-6(y+2)=-2-3(4-y)

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Solution for y-6(y+2)=-2-3(4-y) equation: 


Simplifying
y + -6(y + 2) = -2 + -3(4 + -1y)

Reorder the terms:
y + -6(2 + y) = -2 + -3(4 + -1y)
y + (2 * -6 + y * -6) = -2 + -3(4 + -1y)
y + (-12 + -6y) = -2 + -3(4 + -1y)

Reorder the terms:
-12 + y + -6y = -2 + -3(4 + -1y)

Combine like terms: y + -6y = -5y
-12 + -5y = -2 + -3(4 + -1y)
-12 + -5y = -2 + (4 * -3 + -1y * -3)
-12 + -5y = -2 + (-12 + 3y)

Combine like terms: -2 + -12 = -14
-12 + -5y = -14 + 3y

Solving
-12 + -5y = -14 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-12 + -5y + -3y = -14 + 3y + -3y

Combine like terms: -5y + -3y = -8y
-12 + -8y = -14 + 3y + -3y

Combine like terms: 3y + -3y = 0
-12 + -8y = -14 + 0
-12 + -8y = -14

Add '12' to each side of the equation.
-12 + 12 + -8y = -14 + 12

Combine like terms: -12 + 12 = 0
0 + -8y = -14 + 12
-8y = -14 + 12

Combine like terms: -14 + 12 = -2
-8y = -2

Divide each side by '-8'.
y = 0.25

Simplifying
y = 0.25

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