2(y-4)=3y-8

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


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

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

Reorder the terms:
-8 + 2y = -8 + 3y

Add '8' to each side of the equation.
-8 + 8 + 2y = -8 + 8 + 3y

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

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

Solving
2y = 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
2y + -3y = 3y + -3y

Combine like terms: 2y + -3y = -1y
-1y = 3y + -3y

Combine like terms: 3y + -3y = 0
-1y = 0

Divide each side by '-1'.
y = 0

Simplifying
y = 0

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