2y+21=9y-49

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Solution for 2y+21=9y-49 equation:


Simplifying
2y + 21 = 9y + -49

Reorder the terms:
21 + 2y = 9y + -49

Reorder the terms:
21 + 2y = -49 + 9y

Solving
21 + 2y = -49 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
21 + 2y + -9y = -49 + 9y + -9y

Combine like terms: 2y + -9y = -7y
21 + -7y = -49 + 9y + -9y

Combine like terms: 9y + -9y = 0
21 + -7y = -49 + 0
21 + -7y = -49

Add '-21' to each side of the equation.
21 + -21 + -7y = -49 + -21

Combine like terms: 21 + -21 = 0
0 + -7y = -49 + -21
-7y = -49 + -21

Combine like terms: -49 + -21 = -70
-7y = -70

Divide each side by '-7'.
y = 10

Simplifying
y = 10

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