9y-4(3y-2)=6(y-3)+32

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Solution for 9y-4(3y-2)=6(y-3)+32 equation:


Simplifying
9y + -4(3y + -2) = 6(y + -3) + 32

Reorder the terms:
9y + -4(-2 + 3y) = 6(y + -3) + 32
9y + (-2 * -4 + 3y * -4) = 6(y + -3) + 32
9y + (8 + -12y) = 6(y + -3) + 32

Reorder the terms:
8 + 9y + -12y = 6(y + -3) + 32

Combine like terms: 9y + -12y = -3y
8 + -3y = 6(y + -3) + 32

Reorder the terms:
8 + -3y = 6(-3 + y) + 32
8 + -3y = (-3 * 6 + y * 6) + 32
8 + -3y = (-18 + 6y) + 32

Reorder the terms:
8 + -3y = -18 + 32 + 6y

Combine like terms: -18 + 32 = 14
8 + -3y = 14 + 6y

Solving
8 + -3y = 14 + 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.
8 + -3y + -6y = 14 + 6y + -6y

Combine like terms: -3y + -6y = -9y
8 + -9y = 14 + 6y + -6y

Combine like terms: 6y + -6y = 0
8 + -9y = 14 + 0
8 + -9y = 14

Add '-8' to each side of the equation.
8 + -8 + -9y = 14 + -8

Combine like terms: 8 + -8 = 0
0 + -9y = 14 + -8
-9y = 14 + -8

Combine like terms: 14 + -8 = 6
-9y = 6

Divide each side by '-9'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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