4y+16=4(5y-4)

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Solution for 4y+16=4(5y-4) equation: 


Simplifying
4y + 16 = 4(5y + -4)

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

Reorder the terms:
16 + 4y = 4(-4 + 5y)
16 + 4y = (-4 * 4 + 5y * 4)
16 + 4y = (-16 + 20y)

Solving
16 + 4y = -16 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
16 + 4y + -20y = -16 + 20y + -20y

Combine like terms: 4y + -20y = -16y
16 + -16y = -16 + 20y + -20y

Combine like terms: 20y + -20y = 0
16 + -16y = -16 + 0
16 + -16y = -16

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

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

Combine like terms: -16 + -16 = -32
-16y = -32

Divide each side by '-16'.
y = 2

Simplifying
y = 2

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