8y+4(4+y)=3(y-8)+10

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Solution for 8y+4(4+y)=3(y-8)+10 equation: 


Simplifying
8y + 4(4 + y) = 3(y + -8) + 10
8y + (4 * 4 + y * 4) = 3(y + -8) + 10
8y + (16 + 4y) = 3(y + -8) + 10

Reorder the terms:
16 + 8y + 4y = 3(y + -8) + 10

Combine like terms: 8y + 4y = 12y
16 + 12y = 3(y + -8) + 10

Reorder the terms:
16 + 12y = 3(-8 + y) + 10
16 + 12y = (-8 * 3 + y * 3) + 10
16 + 12y = (-24 + 3y) + 10

Reorder the terms:
16 + 12y = -24 + 10 + 3y

Combine like terms: -24 + 10 = -14
16 + 12y = -14 + 3y

Solving
16 + 12y = -14 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
16 + 12y + -3y = -14 + 3y + -3y

Combine like terms: 12y + -3y = 9y
16 + 9y = -14 + 3y + -3y

Combine like terms: 3y + -3y = 0
16 + 9y = -14 + 0
16 + 9y = -14

Add '-16' to each side of the equation.
16 + -16 + 9y = -14 + -16

Combine like terms: 16 + -16 = 0
0 + 9y = -14 + -16
9y = -14 + -16

Combine like terms: -14 + -16 = -30
9y = -30

Divide each side by '9'.
y = -3.333333333

Simplifying
y = -3.333333333

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