y-8=4-2(y-3)

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Solution for y-8=4-2(y-3) equation: 


Simplifying
y + -8 = 4 + -2(y + -3)

Reorder the terms:
-8 + y = 4 + -2(y + -3)

Reorder the terms:
-8 + y = 4 + -2(-3 + y)
-8 + y = 4 + (-3 * -2 + y * -2)
-8 + y = 4 + (6 + -2y)

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

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

Combine like terms: y + 2y = 3y
-8 + 3y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
-8 + 3y = 10 + 0
-8 + 3y = 10

Add '8' to each side of the equation.
-8 + 8 + 3y = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 3y = 10 + 8
3y = 10 + 8

Combine like terms: 10 + 8 = 18
3y = 18

Divide each side by '3'.
y = 6

Simplifying
y = 6

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