2(3x+4)-(x+1)+4(x-7)=y

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Solution for 2(3x+4)-(x+1)+4(x-7)=y equation:


Simplifying
2(3x + 4) + -1(x + 1) + 4(x + -7) = y

Reorder the terms:
2(4 + 3x) + -1(x + 1) + 4(x + -7) = y
(4 * 2 + 3x * 2) + -1(x + 1) + 4(x + -7) = y
(8 + 6x) + -1(x + 1) + 4(x + -7) = y

Reorder the terms:
8 + 6x + -1(1 + x) + 4(x + -7) = y
8 + 6x + (1 * -1 + x * -1) + 4(x + -7) = y
8 + 6x + (-1 + -1x) + 4(x + -7) = y

Reorder the terms:
8 + 6x + -1 + -1x + 4(-7 + x) = y
8 + 6x + -1 + -1x + (-7 * 4 + x * 4) = y
8 + 6x + -1 + -1x + (-28 + 4x) = y

Reorder the terms:
8 + -1 + -28 + 6x + -1x + 4x = y

Combine like terms: 8 + -1 = 7
7 + -28 + 6x + -1x + 4x = y

Combine like terms: 7 + -28 = -21
-21 + 6x + -1x + 4x = y

Combine like terms: 6x + -1x = 5x
-21 + 5x + 4x = y

Combine like terms: 5x + 4x = 9x
-21 + 9x = y

Solving
-21 + 9x = y

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 9x = 21 + y

Combine like terms: -21 + 21 = 0
0 + 9x = 21 + y
9x = 21 + y

Divide each side by '9'.
x = 2.333333333 + 0.1111111111y

Simplifying
x = 2.333333333 + 0.1111111111y

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