a+b+1-4a-2b=1

Solution for a+b+1-4a-2b=1 equation:

Simplifying
a + b + 1 + -4a + -2b = 1

Reorder the terms:
1 + a + -4a + b + -2b = 1

Combine like terms: a + -4a = -3a
1 + -3a + b + -2b = 1

Combine like terms: b + -2b = -1b
1 + -3a + -1b = 1

Add '-1' to each side of the equation.
1 + -3a + -1 + -1b = 1 + -1

Reorder the terms:
1 + -1 + -3a + -1b = 1 + -1

Combine like terms: 1 + -1 = 0
0 + -3a + -1b = 1 + -1
-3a + -1b = 1 + -1

Combine like terms: 1 + -1 = 0
-3a + -1b = 0

Solving
-3a + -1b = 0

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
-3a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
-3a + 0 = 0 + b
-3a = 0 + b
Remove the zero:
-3a = b

Divide each side by '-3'.
a = -0.3333333333b

Simplifying
a = -0.3333333333b