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

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


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

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

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

Solving
-4 + y = -6 + 2x + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-4 + y + -3y = -6 + 2x + 3y + -3y

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

Combine like terms: 3y + -3y = 0
-4 + -2y = -6 + 2x + 0
-4 + -2y = -6 + 2x

Add '4' to each side of the equation.
-4 + 4 + -2y = -6 + 4 + 2x

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

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

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

Simplifying
y = 1 + -1x

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