y+4x+1=2y+4x+4

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Solution for y+4x+1=2y+4x+4 equation:


Simplifying
y + 4x + 1 = 2y + 4x + 4

Reorder the terms:
1 + 4x + y = 2y + 4x + 4

Reorder the terms:
1 + 4x + y = 4 + 4x + 2y

Add '-4x' to each side of the equation.
1 + 4x + -4x + y = 4 + 4x + -4x + 2y

Combine like terms: 4x + -4x = 0
1 + 0 + y = 4 + 4x + -4x + 2y
1 + y = 4 + 4x + -4x + 2y

Combine like terms: 4x + -4x = 0
1 + y = 4 + 0 + 2y
1 + y = 4 + 2y

Solving
1 + y = 4 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
1 + y + -2y = 4 + 2y + -2y

Combine like terms: y + -2y = -1y
1 + -1y = 4 + 2y + -2y

Combine like terms: 2y + -2y = 0
1 + -1y = 4 + 0
1 + -1y = 4

Add '-1' to each side of the equation.
1 + -1 + -1y = 4 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = 4 + -1
-1y = 4 + -1

Combine like terms: 4 + -1 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3

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