2x(a-y)+3b=3xy

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Solution for 2x(a-y)+3b=3xy equation:


Simplifying
2x(a + -1y) + 3b = 3xy
(a * 2x + -1y * 2x) + 3b = 3xy
(2ax + -2xy) + 3b = 3xy

Reorder the terms:
2ax + 3b + -2xy = 3xy

Solving
2ax + 3b + -2xy = 3xy

Solving for variable 'a'.

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

Add '-3b' to each side of the equation.
2ax + 3b + -3b + -2xy = -3b + 3xy

Combine like terms: 3b + -3b = 0
2ax + 0 + -2xy = -3b + 3xy
2ax + -2xy = -3b + 3xy

Add '2xy' to each side of the equation.
2ax + -2xy + 2xy = -3b + 3xy + 2xy

Combine like terms: -2xy + 2xy = 0
2ax + 0 = -3b + 3xy + 2xy
2ax = -3b + 3xy + 2xy

Combine like terms: 3xy + 2xy = 5xy
2ax = -3b + 5xy

Divide each side by '2x'.
a = -1.5bx-1 + 2.5y

Simplifying
a = -1.5bx-1 + 2.5y

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