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

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


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

Reorder the terms:
2(-4 + y) = -6y + 10 + 2y
(-4 * 2 + y * 2) = -6y + 10 + 2y
(-8 + 2y) = -6y + 10 + 2y

Reorder the terms:
-8 + 2y = 10 + -6y + 2y

Combine like terms: -6y + 2y = -4y
-8 + 2y = 10 + -4y

Solving
-8 + 2y = 10 + -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.
-8 + 2y + 4y = 10 + -4y + 4y

Combine like terms: 2y + 4y = 6y
-8 + 6y = 10 + -4y + 4y

Combine like terms: -4y + 4y = 0
-8 + 6y = 10 + 0
-8 + 6y = 10

Add '8' to each side of the equation.
-8 + 8 + 6y = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 6y = 10 + 8
6y = 10 + 8

Combine like terms: 10 + 8 = 18
6y = 18

Divide each side by '6'.
y = 3

Simplifying
y = 3

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