4(2y-4)+8=5y+2

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Solution for 4(2y-4)+8=5y+2 equation: 


Simplifying
4(2y + -4) + 8 = 5y + 2

Reorder the terms:
4(-4 + 2y) + 8 = 5y + 2
(-4 * 4 + 2y * 4) + 8 = 5y + 2
(-16 + 8y) + 8 = 5y + 2

Reorder the terms:
-16 + 8 + 8y = 5y + 2

Combine like terms: -16 + 8 = -8
-8 + 8y = 5y + 2

Reorder the terms:
-8 + 8y = 2 + 5y

Solving
-8 + 8y = 2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-8 + 8y + -5y = 2 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-8 + 3y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-8 + 3y = 2 + 0
-8 + 3y = 2

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

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

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

Divide each side by '3'.
y = 3.333333333

Simplifying
y = 3.333333333

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