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

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


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

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

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

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

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

Reorder the terms:
-3 + 2x + y = -4 + 3x + -8y

Solving
-3 + 2x + y = -4 + 3x + -8y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + 2x + -3x + y = -4 + 3x + -3x + -8y

Combine like terms: 2x + -3x = -1x
-3 + -1x + y = -4 + 3x + -3x + -8y

Combine like terms: 3x + -3x = 0
-3 + -1x + y = -4 + 0 + -8y
-3 + -1x + y = -4 + -8y

Add '3' to each side of the equation.
-3 + -1x + 3 + y = -4 + 3 + -8y

Reorder the terms:
-3 + 3 + -1x + y = -4 + 3 + -8y

Combine like terms: -3 + 3 = 0
0 + -1x + y = -4 + 3 + -8y
-1x + y = -4 + 3 + -8y

Combine like terms: -4 + 3 = -1
-1x + y = -1 + -8y

Add '-1y' to each side of the equation.
-1x + y + -1y = -1 + -8y + -1y

Combine like terms: y + -1y = 0
-1x + 0 = -1 + -8y + -1y
-1x = -1 + -8y + -1y

Combine like terms: -8y + -1y = -9y
-1x = -1 + -9y

Divide each side by '-1'.
x = 1 + 9y

Simplifying
x = 1 + 9y

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