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

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


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

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

Combine like terms: -8y + y = -7y
16 + -7y = 4 + 3(3y + -2)

Reorder the terms:
16 + -7y = 4 + 3(-2 + 3y)
16 + -7y = 4 + (-2 * 3 + 3y * 3)
16 + -7y = 4 + (-6 + 9y)

Combine like terms: 4 + -6 = -2
16 + -7y = -2 + 9y

Solving
16 + -7y = -2 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
16 + -7y + -9y = -2 + 9y + -9y

Combine like terms: -7y + -9y = -16y
16 + -16y = -2 + 9y + -9y

Combine like terms: 9y + -9y = 0
16 + -16y = -2 + 0
16 + -16y = -2

Add '-16' to each side of the equation.
16 + -16 + -16y = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -16y = -2 + -16
-16y = -2 + -16

Combine like terms: -2 + -16 = -18
-16y = -18

Divide each side by '-16'.
y = 1.125

Simplifying
y = 1.125

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