2y+20=5y-49

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Solution for 2y+20=5y-49 equation:


Simplifying
2y + 20 = 5y + -49

Reorder the terms:
20 + 2y = 5y + -49

Reorder the terms:
20 + 2y = -49 + 5y

Solving
20 + 2y = -49 + 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 = -49 + 5y + -5y

Combine like terms: 2y + -5y = -3y
20 + -3y = -49 + 5y + -5y

Combine like terms: 5y + -5y = 0
20 + -3y = -49 + 0
20 + -3y = -49

Add '-20' to each side of the equation.
20 + -20 + -3y = -49 + -20

Combine like terms: 20 + -20 = 0
0 + -3y = -49 + -20
-3y = -49 + -20

Combine like terms: -49 + -20 = -69
-3y = -69

Divide each side by '-3'.
y = 23

Simplifying
y = 23

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