4(x+y)+y+2(y+5)+6x=1

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Solution for 4(x+y)+y+2(y+5)+6x=1 equation: 


Simplifying
4(x + y) + y + 2(y + 5) + 6x = 1
(x * 4 + y * 4) + y + 2(y + 5) + 6x = 1
(4x + 4y) + y + 2(y + 5) + 6x = 1

Reorder the terms:
4x + 4y + y + 2(5 + y) + 6x = 1
4x + 4y + y + (5 * 2 + y * 2) + 6x = 1
4x + 4y + y + (10 + 2y) + 6x = 1

Reorder the terms:
10 + 4x + 6x + 4y + y + 2y = 1

Combine like terms: 4x + 6x = 10x
10 + 10x + 4y + y + 2y = 1

Combine like terms: 4y + y = 5y
10 + 10x + 5y + 2y = 1

Combine like terms: 5y + 2y = 7y
10 + 10x + 7y = 1

Solving
10 + 10x + 7y = 1

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 10x + -10 + 7y = 1 + -10

Reorder the terms:
10 + -10 + 10x + 7y = 1 + -10

Combine like terms: 10 + -10 = 0
0 + 10x + 7y = 1 + -10
10x + 7y = 1 + -10

Combine like terms: 1 + -10 = -9
10x + 7y = -9

Add '-7y' to each side of the equation.
10x + 7y + -7y = -9 + -7y

Combine like terms: 7y + -7y = 0
10x + 0 = -9 + -7y
10x = -9 + -7y

Divide each side by '10'.
x = -0.9 + -0.7y

Simplifying
x = -0.9 + -0.7y

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