5(y-4)=4y-8

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


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

Reorder the terms:
5(-4 + y) = 4y + -8
(-4 * 5 + y * 5) = 4y + -8
(-20 + 5y) = 4y + -8

Reorder the terms:
-20 + 5y = -8 + 4y

Solving
-20 + 5y = -8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-20 + 5y + -4y = -8 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-20 + 1y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
-20 + 1y = -8 + 0
-20 + 1y = -8

Add '20' to each side of the equation.
-20 + 20 + 1y = -8 + 20

Combine like terms: -20 + 20 = 0
0 + 1y = -8 + 20
1y = -8 + 20

Combine like terms: -8 + 20 = 12
1y = 12

Divide each side by '1'.
y = 12

Simplifying
y = 12

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