y-4=2(5y-20)

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Solution for y-4=2(5y-20) equation:


Simplifying
y + -4 = 2(5y + -20)

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

Reorder the terms:
-4 + y = 2(-20 + 5y)
-4 + y = (-20 * 2 + 5y * 2)
-4 + y = (-40 + 10y)

Solving
-4 + y = -40 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-4 + y + -10y = -40 + 10y + -10y

Combine like terms: y + -10y = -9y
-4 + -9y = -40 + 10y + -10y

Combine like terms: 10y + -10y = 0
-4 + -9y = -40 + 0
-4 + -9y = -40

Add '4' to each side of the equation.
-4 + 4 + -9y = -40 + 4

Combine like terms: -4 + 4 = 0
0 + -9y = -40 + 4
-9y = -40 + 4

Combine like terms: -40 + 4 = -36
-9y = -36

Divide each side by '-9'.
y = 4

Simplifying
y = 4

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