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

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


Simplifying
4(x + y) + y + 2(y + 5) + 6 = 0
(x * 4 + y * 4) + y + 2(y + 5) + 6 = 0
(4x + 4y) + y + 2(y + 5) + 6 = 0

Reorder the terms:
4x + 4y + y + 2(5 + y) + 6 = 0
4x + 4y + y + (5 * 2 + y * 2) + 6 = 0
4x + 4y + y + (10 + 2y) + 6 = 0

Reorder the terms:
10 + 6 + 4x + 4y + y + 2y = 0

Combine like terms: 10 + 6 = 16
16 + 4x + 4y + y + 2y = 0

Combine like terms: 4y + y = 5y
16 + 4x + 5y + 2y = 0

Combine like terms: 5y + 2y = 7y
16 + 4x + 7y = 0

Solving
16 + 4x + 7y = 0

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + 4x + -16 + 7y = 0 + -16

Reorder the terms:
16 + -16 + 4x + 7y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 4x + 7y = 0 + -16
4x + 7y = 0 + -16

Combine like terms: 0 + -16 = -16
4x + 7y = -16

Add '-7y' to each side of the equation.
4x + 7y + -7y = -16 + -7y

Combine like terms: 7y + -7y = 0
4x + 0 = -16 + -7y
4x = -16 + -7y

Divide each side by '4'.
x = -4 + -1.75y

Simplifying
x = -4 + -1.75y

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