4(y-5)=2(5-y)

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Solution for 4(y-5)=2(5-y) equation:


Simplifying
4(y + -5) = 2(5 + -1y)

Reorder the terms:
4(-5 + y) = 2(5 + -1y)
(-5 * 4 + y * 4) = 2(5 + -1y)
(-20 + 4y) = 2(5 + -1y)
-20 + 4y = (5 * 2 + -1y * 2)
-20 + 4y = (10 + -2y)

Solving
-20 + 4y = 10 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-20 + 4y + 2y = 10 + -2y + 2y

Combine like terms: 4y + 2y = 6y
-20 + 6y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
-20 + 6y = 10 + 0
-20 + 6y = 10

Add '20' to each side of the equation.
-20 + 20 + 6y = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 6y = 10 + 20
6y = 10 + 20

Combine like terms: 10 + 20 = 30
6y = 30

Divide each side by '6'.
y = 5

Simplifying
y = 5

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