(4x-1)+(x+8)=5y+2

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Solution for (4x-1)+(x+8)=5y+2 equation: 


Simplifying
(4x + -1) + (x + 8) = 5y + 2

Reorder the terms:
(-1 + 4x) + (x + 8) = 5y + 2

Remove parenthesis around (-1 + 4x)
-1 + 4x + (x + 8) = 5y + 2

Reorder the terms:
-1 + 4x + (8 + x) = 5y + 2

Remove parenthesis around (8 + x)
-1 + 4x + 8 + x = 5y + 2

Reorder the terms:
-1 + 8 + 4x + x = 5y + 2

Combine like terms: -1 + 8 = 7
7 + 4x + x = 5y + 2

Combine like terms: 4x + x = 5x
7 + 5x = 5y + 2

Reorder the terms:
7 + 5x = 2 + 5y

Solving
7 + 5x = 2 + 5y

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 2 + -7 + 5y

Combine like terms: 7 + -7 = 0
0 + 5x = 2 + -7 + 5y
5x = 2 + -7 + 5y

Combine like terms: 2 + -7 = -5
5x = -5 + 5y

Divide each side by '5'.
x = -1 + y

Simplifying
x = -1 + y

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