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

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


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

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

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

Solving
-16 + 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.
-16 + 8y + -5y = -2 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-16 + 3y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + 3y = -2 + 0
-16 + 3y = -2

Add '16' to each side of the equation.
-16 + 16 + 3y = -2 + 16

Combine like terms: -16 + 16 = 0
0 + 3y = -2 + 16
3y = -2 + 16

Combine like terms: -2 + 16 = 14
3y = 14

Divide each side by '3'.
y = 4.666666667

Simplifying
y = 4.666666667

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