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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