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

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


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

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

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

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

Reorder the terms:
-12 + 4y = 4y + -2(-10 + y)
-12 + 4y = 4y + (-10 * -2 + y * -2)
-12 + 4y = 4y + (20 + -2y)

Reorder the terms:
-12 + 4y = 20 + 4y + -2y

Combine like terms: 4y + -2y = 2y
-12 + 4y = 20 + 2y

Solving
-12 + 4y = 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.
-12 + 4y + -2y = 20 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-12 + 2y = 20 + 2y + -2y

Combine like terms: 2y + -2y = 0
-12 + 2y = 20 + 0
-12 + 2y = 20

Add '12' to each side of the equation.
-12 + 12 + 2y = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 2y = 20 + 12
2y = 20 + 12

Combine like terms: 20 + 12 = 32
2y = 32

Divide each side by '2'.
y = 16

Simplifying
y = 16

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