2y+3f-2=5y-4f+4

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Solution for 2y+3f-2=5y-4f+4 equation:


Simplifying
2y + 3f + -2 = 5y + -4f + 4

Reorder the terms:
-2 + 3f + 2y = 5y + -4f + 4

Reorder the terms:
-2 + 3f + 2y = 4 + -4f + 5y

Solving
-2 + 3f + 2y = 4 + -4f + 5y

Solving for variable 'f'.

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

Add '4f' to each side of the equation.
-2 + 3f + 4f + 2y = 4 + -4f + 4f + 5y

Combine like terms: 3f + 4f = 7f
-2 + 7f + 2y = 4 + -4f + 4f + 5y

Combine like terms: -4f + 4f = 0
-2 + 7f + 2y = 4 + 0 + 5y
-2 + 7f + 2y = 4 + 5y

Add '2' to each side of the equation.
-2 + 7f + 2 + 2y = 4 + 2 + 5y

Reorder the terms:
-2 + 2 + 7f + 2y = 4 + 2 + 5y

Combine like terms: -2 + 2 = 0
0 + 7f + 2y = 4 + 2 + 5y
7f + 2y = 4 + 2 + 5y

Combine like terms: 4 + 2 = 6
7f + 2y = 6 + 5y

Add '-2y' to each side of the equation.
7f + 2y + -2y = 6 + 5y + -2y

Combine like terms: 2y + -2y = 0
7f + 0 = 6 + 5y + -2y
7f = 6 + 5y + -2y

Combine like terms: 5y + -2y = 3y
7f = 6 + 3y

Divide each side by '7'.
f = 0.8571428571 + 0.4285714286y

Simplifying
f = 0.8571428571 + 0.4285714286y

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