-2(-8y+6)-3y=4(y-3)-6

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Solution for -2(-8y+6)-3y=4(y-3)-6 equation: 


Simplifying
-2(-8y + 6) + -3y = 4(y + -3) + -6

Reorder the terms:
-2(6 + -8y) + -3y = 4(y + -3) + -6
(6 * -2 + -8y * -2) + -3y = 4(y + -3) + -6
(-12 + 16y) + -3y = 4(y + -3) + -6

Combine like terms: 16y + -3y = 13y
-12 + 13y = 4(y + -3) + -6

Reorder the terms:
-12 + 13y = 4(-3 + y) + -6
-12 + 13y = (-3 * 4 + y * 4) + -6
-12 + 13y = (-12 + 4y) + -6

Reorder the terms:
-12 + 13y = -12 + -6 + 4y

Combine like terms: -12 + -6 = -18
-12 + 13y = -18 + 4y

Solving
-12 + 13y = -18 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-12 + 13y + -4y = -18 + 4y + -4y

Combine like terms: 13y + -4y = 9y
-12 + 9y = -18 + 4y + -4y

Combine like terms: 4y + -4y = 0
-12 + 9y = -18 + 0
-12 + 9y = -18

Add '12' to each side of the equation.
-12 + 12 + 9y = -18 + 12

Combine like terms: -12 + 12 = 0
0 + 9y = -18 + 12
9y = -18 + 12

Combine like terms: -18 + 12 = -6
9y = -6

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

Simplifying
y = -0.6666666667

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