.2(25-5y)=21-3(y-4)

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Solution for .2(25-5y)=21-3(y-4) equation: 


Simplifying
0.2(25 + -5y) = 21 + -3(y + -4)
(25 * 0.2 + -5y * 0.2) = 21 + -3(y + -4)
(5 + -1y) = 21 + -3(y + -4)

Reorder the terms:
5 + -1y = 21 + -3(-4 + y)
5 + -1y = 21 + (-4 * -3 + y * -3)
5 + -1y = 21 + (12 + -3y)

Combine like terms: 21 + 12 = 33
5 + -1y = 33 + -3y

Solving
5 + -1y = 33 + -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.
5 + -1y + 3y = 33 + -3y + 3y

Combine like terms: -1y + 3y = 2y
5 + 2y = 33 + -3y + 3y

Combine like terms: -3y + 3y = 0
5 + 2y = 33 + 0
5 + 2y = 33

Add '-5' to each side of the equation.
5 + -5 + 2y = 33 + -5

Combine like terms: 5 + -5 = 0
0 + 2y = 33 + -5
2y = 33 + -5

Combine like terms: 33 + -5 = 28
2y = 28

Divide each side by '2'.
y = 14

Simplifying
y = 14

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