4-2(y-6)=2(y-10)

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Solution for 4-2(y-6)=2(y-10) equation: 


Simplifying
4 + -2(y + -6) = 2(y + -10)

Reorder the terms:
4 + -2(-6 + y) = 2(y + -10)
4 + (-6 * -2 + y * -2) = 2(y + -10)
4 + (12 + -2y) = 2(y + -10)

Combine like terms: 4 + 12 = 16
16 + -2y = 2(y + -10)

Reorder the terms:
16 + -2y = 2(-10 + y)
16 + -2y = (-10 * 2 + y * 2)
16 + -2y = (-20 + 2y)

Solving
16 + -2y = -20 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
16 + -2y + -2y = -20 + 2y + -2y

Combine like terms: -2y + -2y = -4y
16 + -4y = -20 + 2y + -2y

Combine like terms: 2y + -2y = 0
16 + -4y = -20 + 0
16 + -4y = -20

Add '-16' to each side of the equation.
16 + -16 + -4y = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -4y = -20 + -16
-4y = -20 + -16

Combine like terms: -20 + -16 = -36
-4y = -36

Divide each side by '-4'.
y = 9

Simplifying
y = 9

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