2(y-3)-9=-6(-3y+2)-4y

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Solution for 2(y-3)-9=-6(-3y+2)-4y equation:


Simplifying
2(y + -3) + -9 = -6(-3y + 2) + -4y

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

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

Combine like terms: -6 + -9 = -15
-15 + 2y = -6(-3y + 2) + -4y

Reorder the terms:
-15 + 2y = -6(2 + -3y) + -4y
-15 + 2y = (2 * -6 + -3y * -6) + -4y
-15 + 2y = (-12 + 18y) + -4y

Combine like terms: 18y + -4y = 14y
-15 + 2y = -12 + 14y

Solving
-15 + 2y = -12 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
-15 + 2y + -14y = -12 + 14y + -14y

Combine like terms: 2y + -14y = -12y
-15 + -12y = -12 + 14y + -14y

Combine like terms: 14y + -14y = 0
-15 + -12y = -12 + 0
-15 + -12y = -12

Add '15' to each side of the equation.
-15 + 15 + -12y = -12 + 15

Combine like terms: -15 + 15 = 0
0 + -12y = -12 + 15
-12y = -12 + 15

Combine like terms: -12 + 15 = 3
-12y = 3

Divide each side by '-12'.
y = -0.25

Simplifying
y = -0.25

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