2y+20=7y+40

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Solution for 2y+20=7y+40 equation:


Simplifying
2y + 20 = 7y + 40

Reorder the terms:
20 + 2y = 7y + 40

Reorder the terms:
20 + 2y = 40 + 7y

Solving
20 + 2y = 40 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
20 + 2y + -7y = 40 + 7y + -7y

Combine like terms: 2y + -7y = -5y
20 + -5y = 40 + 7y + -7y

Combine like terms: 7y + -7y = 0
20 + -5y = 40 + 0
20 + -5y = 40

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

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

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

Divide each side by '-5'.
y = -4

Simplifying
y = -4

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