2y+20=5y-40

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Solution for 2y+20=5y-40 equation: 


Simplifying
2y + 20 = 5y + -40

Reorder the terms:
20 + 2y = 5y + -40

Reorder the terms:
20 + 2y = -40 + 5y

Solving
20 + 2y = -40 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
20 + 2y + -5y = -40 + 5y + -5y

Combine like terms: 2y + -5y = -3y
20 + -3y = -40 + 5y + -5y

Combine like terms: 5y + -5y = 0
20 + -3y = -40 + 0
20 + -3y = -40

Add '-20' to each side of the equation.
20 + -20 + -3y = -40 + -20

Combine like terms: 20 + -20 = 0
0 + -3y = -40 + -20
-3y = -40 + -20

Combine like terms: -40 + -20 = -60
-3y = -60

Divide each side by '-3'.
y = 20

Simplifying
y = 20

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