3+4y-1=7y+9-2y

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Solution for 3+4y-1=7y+9-2y equation: 


Simplifying
3 + 4y + -1 = 7y + 9 + -2y

Reorder the terms:
3 + -1 + 4y = 7y + 9 + -2y

Combine like terms: 3 + -1 = 2
2 + 4y = 7y + 9 + -2y

Reorder the terms:
2 + 4y = 9 + 7y + -2y

Combine like terms: 7y + -2y = 5y
2 + 4y = 9 + 5y

Solving
2 + 4y = 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.
2 + 4y + -5y = 9 + 5y + -5y

Combine like terms: 4y + -5y = -1y
2 + -1y = 9 + 5y + -5y

Combine like terms: 5y + -5y = 0
2 + -1y = 9 + 0
2 + -1y = 9

Add '-2' to each side of the equation.
2 + -2 + -1y = 9 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 9 + -2
-1y = 9 + -2

Combine like terms: 9 + -2 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7

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