3y-6(-4y-20)=14y-10

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Solution for 3y-6(-4y-20)=14y-10 equation: 


Simplifying
3y + -6(-4y + -20) = 14y + -10

Reorder the terms:
3y + -6(-20 + -4y) = 14y + -10
3y + (-20 * -6 + -4y * -6) = 14y + -10
3y + (120 + 24y) = 14y + -10

Reorder the terms:
120 + 3y + 24y = 14y + -10

Combine like terms: 3y + 24y = 27y
120 + 27y = 14y + -10

Reorder the terms:
120 + 27y = -10 + 14y

Solving
120 + 27y = -10 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
120 + 27y + -14y = -10 + 14y + -14y

Combine like terms: 27y + -14y = 13y
120 + 13y = -10 + 14y + -14y

Combine like terms: 14y + -14y = 0
120 + 13y = -10 + 0
120 + 13y = -10

Add '-120' to each side of the equation.
120 + -120 + 13y = -10 + -120

Combine like terms: 120 + -120 = 0
0 + 13y = -10 + -120
13y = -10 + -120

Combine like terms: -10 + -120 = -130
13y = -130

Divide each side by '13'.
y = -10

Simplifying
y = -10

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