(1+3b)(y+1)-2a(y+1)+3(y+1)=

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Solution for (1+3b)(y+1)-2a(y+1)+3(y+1)= equation:


Simplifying
(1 + 3b)(y + 1) + -2a(y + 1) + 3(y + 1) = 0

Reorder the terms:
(1 + 3b)(1 + y) + -2a(y + 1) + 3(y + 1) = 0

Multiply (1 + 3b) * (1 + y)
(1(1 + y) + 3b * (1 + y)) + -2a(y + 1) + 3(y + 1) = 0
((1 * 1 + y * 1) + 3b * (1 + y)) + -2a(y + 1) + 3(y + 1) = 0
((1 + 1y) + 3b * (1 + y)) + -2a(y + 1) + 3(y + 1) = 0
(1 + 1y + (1 * 3b + y * 3b)) + -2a(y + 1) + 3(y + 1) = 0
(1 + 1y + (3b + 3by)) + -2a(y + 1) + 3(y + 1) = 0

Reorder the terms:
(1 + 3b + 3by + 1y) + -2a(y + 1) + 3(y + 1) = 0
(1 + 3b + 3by + 1y) + -2a(y + 1) + 3(y + 1) = 0

Reorder the terms:
1 + 3b + 3by + 1y + -2a(1 + y) + 3(y + 1) = 0
1 + 3b + 3by + 1y + (1 * -2a + y * -2a) + 3(y + 1) = 0
1 + 3b + 3by + 1y + (-2a + -2ay) + 3(y + 1) = 0

Reorder the terms:
1 + 3b + 3by + 1y + -2a + -2ay + 3(1 + y) = 0
1 + 3b + 3by + 1y + -2a + -2ay + (1 * 3 + y * 3) = 0
1 + 3b + 3by + 1y + -2a + -2ay + (3 + 3y) = 0

Reorder the terms:
1 + 3 + -2a + -2ay + 3b + 3by + 1y + 3y = 0

Combine like terms: 1 + 3 = 4
4 + -2a + -2ay + 3b + 3by + 1y + 3y = 0

Combine like terms: 1y + 3y = 4y
4 + -2a + -2ay + 3b + 3by + 4y = 0

Solving
4 + -2a + -2ay + 3b + 3by + 4y = 0

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -2a + -2ay + 3b + 3by + -4 + 4y = 0 + -4

Reorder the terms:
4 + -4 + -2a + -2ay + 3b + 3by + 4y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2a + -2ay + 3b + 3by + 4y = 0 + -4
-2a + -2ay + 3b + 3by + 4y = 0 + -4

Combine like terms: 0 + -4 = -4
-2a + -2ay + 3b + 3by + 4y = -4

Add '-3b' to each side of the equation.
-2a + -2ay + 3b + 3by + -3b + 4y = -4 + -3b

Reorder the terms:
-2a + -2ay + 3b + -3b + 3by + 4y = -4 + -3b

Combine like terms: 3b + -3b = 0
-2a + -2ay + 0 + 3by + 4y = -4 + -3b
-2a + -2ay + 3by + 4y = -4 + -3b

Add '-3by' to each side of the equation.
-2a + -2ay + 3by + -3by + 4y = -4 + -3b + -3by

Combine like terms: 3by + -3by = 0
-2a + -2ay + 0 + 4y = -4 + -3b + -3by
-2a + -2ay + 4y = -4 + -3b + -3by

Add '-4y' to each side of the equation.
-2a + -2ay + 4y + -4y = -4 + -3b + -3by + -4y

Combine like terms: 4y + -4y = 0
-2a + -2ay + 0 = -4 + -3b + -3by + -4y
-2a + -2ay = -4 + -3b + -3by + -4y

Reorder the terms:
4 + -2a + -2ay + 3b + 3by + 4y = -4 + -3b + -3by + -4y + 4 + 3b + 3by + 4y

Reorder the terms:
4 + -2a + -2ay + 3b + 3by + 4y = -4 + 4 + -3b + 3b + -3by + 3by + -4y + 4y

Combine like terms: -4 + 4 = 0
4 + -2a + -2ay + 3b + 3by + 4y = 0 + -3b + 3b + -3by + 3by + -4y + 4y
4 + -2a + -2ay + 3b + 3by + 4y = -3b + 3b + -3by + 3by + -4y + 4y

Combine like terms: -3b + 3b = 0
4 + -2a + -2ay + 3b + 3by + 4y = 0 + -3by + 3by + -4y + 4y
4 + -2a + -2ay + 3b + 3by + 4y = -3by + 3by + -4y + 4y

Combine like terms: -3by + 3by = 0
4 + -2a + -2ay + 3b + 3by + 4y = 0 + -4y + 4y
4 + -2a + -2ay + 3b + 3by + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
4 + -2a + -2ay + 3b + 3by + 4y = 0

The solution to this equation could not be determined.

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