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

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


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

Reorder the terms:
2y + -4(6 + 2y) = 4y + -6
2y + (6 * -4 + 2y * -4) = 4y + -6
2y + (-24 + -8y) = 4y + -6

Reorder the terms:
-24 + 2y + -8y = 4y + -6

Combine like terms: 2y + -8y = -6y
-24 + -6y = 4y + -6

Reorder the terms:
-24 + -6y = -6 + 4y

Solving
-24 + -6y = -6 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-24 + -6y + -4y = -6 + 4y + -4y

Combine like terms: -6y + -4y = -10y
-24 + -10y = -6 + 4y + -4y

Combine like terms: 4y + -4y = 0
-24 + -10y = -6 + 0
-24 + -10y = -6

Add '24' to each side of the equation.
-24 + 24 + -10y = -6 + 24

Combine like terms: -24 + 24 = 0
0 + -10y = -6 + 24
-10y = -6 + 24

Combine like terms: -6 + 24 = 18
-10y = 18

Divide each side by '-10'.
y = -1.8

Simplifying
y = -1.8

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