3(y-3)-2=4x-6y+12

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Solution for 3(y-3)-2=4x-6y+12 equation:


Simplifying
3(y + -3) + -2 = 4x + -6y + 12

Reorder the terms:
3(-3 + y) + -2 = 4x + -6y + 12
(-3 * 3 + y * 3) + -2 = 4x + -6y + 12
(-9 + 3y) + -2 = 4x + -6y + 12

Reorder the terms:
-9 + -2 + 3y = 4x + -6y + 12

Combine like terms: -9 + -2 = -11
-11 + 3y = 4x + -6y + 12

Reorder the terms:
-11 + 3y = 12 + 4x + -6y

Solving
-11 + 3y = 12 + 4x + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-11 + 3y + 6y = 12 + 4x + -6y + 6y

Combine like terms: 3y + 6y = 9y
-11 + 9y = 12 + 4x + -6y + 6y

Combine like terms: -6y + 6y = 0
-11 + 9y = 12 + 4x + 0
-11 + 9y = 12 + 4x

Add '11' to each side of the equation.
-11 + 11 + 9y = 12 + 11 + 4x

Combine like terms: -11 + 11 = 0
0 + 9y = 12 + 11 + 4x
9y = 12 + 11 + 4x

Combine like terms: 12 + 11 = 23
9y = 23 + 4x

Divide each side by '9'.
y = 2.555555556 + 0.4444444444x

Simplifying
y = 2.555555556 + 0.4444444444x

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