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

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


Simplifying
4(y + -5) = (5 + -1y)

Reorder the terms:
4(-5 + y) = (5 + -1y)
(-5 * 4 + y * 4) = (5 + -1y)
(-20 + 4y) = (5 + -1y)

Remove parenthesis around (5 + -1y)
-20 + 4y = 5 + -1y

Solving
-20 + 4y = 5 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-20 + 4y + y = 5 + -1y + y

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

Combine like terms: -1y + y = 0
-20 + 5y = 5 + 0
-20 + 5y = 5

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

Combine like terms: -20 + 20 = 0
0 + 5y = 5 + 20
5y = 5 + 20

Combine like terms: 5 + 20 = 25
5y = 25

Divide each side by '5'.
y = 5

Simplifying
y = 5

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