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

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


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

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

Reorder the terms:
3 + -6 + -2x + 2y = 4(y + -3)

Combine like terms: 3 + -6 = -3
-3 + -2x + 2y = 4(y + -3)

Reorder the terms:
-3 + -2x + 2y = 4(-3 + y)
-3 + -2x + 2y = (-3 * 4 + y * 4)
-3 + -2x + 2y = (-12 + 4y)

Solving
-3 + -2x + 2y = -12 + 4y

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + -2x + 3 + 2y = -12 + 3 + 4y

Reorder the terms:
-3 + 3 + -2x + 2y = -12 + 3 + 4y

Combine like terms: -3 + 3 = 0
0 + -2x + 2y = -12 + 3 + 4y
-2x + 2y = -12 + 3 + 4y

Combine like terms: -12 + 3 = -9
-2x + 2y = -9 + 4y

Add '-2y' to each side of the equation.
-2x + 2y + -2y = -9 + 4y + -2y

Combine like terms: 2y + -2y = 0
-2x + 0 = -9 + 4y + -2y
-2x = -9 + 4y + -2y

Combine like terms: 4y + -2y = 2y
-2x = -9 + 2y

Divide each side by '-2'.
x = 4.5 + -1y

Simplifying
x = 4.5 + -1y

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