4(y-5)=20-y

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Solution for 4(y-5)=20-y equation:


Simplifying
4(y + -5) = 20 + -1y

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

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

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

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

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

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

Combine like terms: 20 + 20 = 40
5y = 40

Divide each side by '5'.
y = 8

Simplifying
y = 8

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