7y-20=-2y-47

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Solution for 7y-20=-2y-47 equation:


Simplifying
7y + -20 = -2y + -47

Reorder the terms:
-20 + 7y = -2y + -47

Reorder the terms:
-20 + 7y = -47 + -2y

Solving
-20 + 7y = -47 + -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 = -47 + -2y + 2y

Combine like terms: 7y + 2y = 9y
-20 + 9y = -47 + -2y + 2y

Combine like terms: -2y + 2y = 0
-20 + 9y = -47 + 0
-20 + 9y = -47

Add '20' to each side of the equation.
-20 + 20 + 9y = -47 + 20

Combine like terms: -20 + 20 = 0
0 + 9y = -47 + 20
9y = -47 + 20

Combine like terms: -47 + 20 = -27
9y = -27

Divide each side by '9'.
y = -3

Simplifying
y = -3

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