y(x+10)-b+2a-6=3a

Solution for y(x+10)-b+2a-6=3a equation:

Simplifying
y(x + 10) + -1b + 2a + -6 = 3a

Reorder the terms:
y(10 + x) + -1b + 2a + -6 = 3a
(10 * y + x * y) + -1b + 2a + -6 = 3a

Reorder the terms:
(xy + 10y) + -1b + 2a + -6 = 3a
(xy + 10y) + -1b + 2a + -6 = 3a

Reorder the terms:
-6 + 2a + -1b + xy + 10y = 3a

Solving
-6 + 2a + -1b + xy + 10y = 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-6 + 2a + -1b + xy + -3a + 10y = 3a + -3a

Reorder the terms:
-6 + 2a + -3a + -1b + xy + 10y = 3a + -3a

Combine like terms: 2a + -3a = -1a
-6 + -1a + -1b + xy + 10y = 3a + -3a

Combine like terms: 3a + -3a = 0
-6 + -1a + -1b + xy + 10y = 0

Add '6' to each side of the equation.
-6 + -1a + -1b + xy + 6 + 10y = 0 + 6

Reorder the terms:
-6 + 6 + -1a + -1b + xy + 10y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1a + -1b + xy + 10y = 0 + 6
-1a + -1b + xy + 10y = 0 + 6

Combine like terms: 0 + 6 = 6
-1a + -1b + xy + 10y = 6

Add 'b' to each side of the equation.
-1a + -1b + xy + b + 10y = 6 + b

Reorder the terms:
-1a + -1b + b + xy + 10y = 6 + b

Combine like terms: -1b + b = 0
-1a + 0 + xy + 10y = 6 + b
-1a + xy + 10y = 6 + b

Add '-1xy' to each side of the equation.
-1a + xy + -1xy + 10y = 6 + b + -1xy

Combine like terms: xy + -1xy = 0
-1a + 0 + 10y = 6 + b + -1xy
-1a + 10y = 6 + b + -1xy

Add '-10y' to each side of the equation.
-1a + 10y + -10y = 6 + b + -1xy + -10y

Combine like terms: 10y + -10y = 0
-1a + 0 = 6 + b + -1xy + -10y
-1a = 6 + b + -1xy + -10y

Divide each side by '-1'.
a = -6 + -1b + xy + 10y

Simplifying
a = -6 + -1b + xy + 10y