2y+5y-20=4y-2y+20

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Solution for 2y+5y-20=4y-2y+20 equation:


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

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

Combine like terms: 2y + 5y = 7y
-20 + 7y = 4y + -2y + 20

Reorder the terms:
-20 + 7y = 20 + 4y + -2y

Combine like terms: 4y + -2y = 2y
-20 + 7y = 20 + 2y

Solving
-20 + 7y = 20 + 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 + 7y + -2y = 20 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-20 + 5y = 20 + 2y + -2y

Combine like terms: 2y + -2y = 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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