2y-40=-5y+9

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Solution for 2y-40=-5y+9 equation:


Simplifying
2y + -40 = -5y + 9

Reorder the terms:
-40 + 2y = -5y + 9

Reorder the terms:
-40 + 2y = 9 + -5y

Solving
-40 + 2y = 9 + -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.
-40 + 2y + 5y = 9 + -5y + 5y

Combine like terms: 2y + 5y = 7y
-40 + 7y = 9 + -5y + 5y

Combine like terms: -5y + 5y = 0
-40 + 7y = 9 + 0
-40 + 7y = 9

Add '40' to each side of the equation.
-40 + 40 + 7y = 9 + 40

Combine like terms: -40 + 40 = 0
0 + 7y = 9 + 40
7y = 9 + 40

Combine like terms: 9 + 40 = 49
7y = 49

Divide each side by '7'.
y = 7

Simplifying
y = 7

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