2(by-4)=3by+2

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Solution for 2(by-4)=3by+2 equation:


Simplifying
2(by + -4) = 3by + 2

Reorder the terms:
2(-4 + by) = 3by + 2
(-4 * 2 + by * 2) = 3by + 2
(-8 + 2by) = 3by + 2

Reorder the terms:
-8 + 2by = 2 + 3by

Solving
-8 + 2by = 2 + 3by

Solving for variable 'b'.

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

Add '-3by' to each side of the equation.
-8 + 2by + -3by = 2 + 3by + -3by

Combine like terms: 2by + -3by = -1by
-8 + -1by = 2 + 3by + -3by

Combine like terms: 3by + -3by = 0
-8 + -1by = 2 + 0
-8 + -1by = 2

Add '8' to each side of the equation.
-8 + 8 + -1by = 2 + 8

Combine like terms: -8 + 8 = 0
0 + -1by = 2 + 8
-1by = 2 + 8

Combine like terms: 2 + 8 = 10
-1by = 10

Divide each side by '-1y'.
b = -10y-1

Simplifying
b = -10y-1

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