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

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


Simplifying
(3 + 4y) + -1(2x + 7y + -1) = 0

Remove parenthesis around (3 + 4y)
3 + 4y + -1(2x + 7y + -1) = 0

Reorder the terms:
3 + 4y + -1(-1 + 2x + 7y) = 0
3 + 4y + (-1 * -1 + 2x * -1 + 7y * -1) = 0
3 + 4y + (1 + -2x + -7y) = 0

Reorder the terms:
3 + 1 + -2x + 4y + -7y = 0

Combine like terms: 3 + 1 = 4
4 + -2x + 4y + -7y = 0

Combine like terms: 4y + -7y = -3y
4 + -2x + -3y = 0

Solving
4 + -2x + -3y = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -2x + -4 + -3y = 0 + -4

Reorder the terms:
4 + -4 + -2x + -3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2x + -3y = 0 + -4
-2x + -3y = 0 + -4

Combine like terms: 0 + -4 = -4
-2x + -3y = -4

Add '3y' to each side of the equation.
-2x + -3y + 3y = -4 + 3y

Combine like terms: -3y + 3y = 0
-2x + 0 = -4 + 3y
-2x = -4 + 3y

Divide each side by '-2'.
x = 2 + -1.5y

Simplifying
x = 2 + -1.5y

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