8y+4(2+y)=3(y-6)+10

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Solution for 8y+4(2+y)=3(y-6)+10 equation: 


Simplifying
8y + 4(2 + y) = 3(y + -6) + 10
8y + (2 * 4 + y * 4) = 3(y + -6) + 10
8y + (8 + 4y) = 3(y + -6) + 10

Reorder the terms:
8 + 8y + 4y = 3(y + -6) + 10

Combine like terms: 8y + 4y = 12y
8 + 12y = 3(y + -6) + 10

Reorder the terms:
8 + 12y = 3(-6 + y) + 10
8 + 12y = (-6 * 3 + y * 3) + 10
8 + 12y = (-18 + 3y) + 10

Reorder the terms:
8 + 12y = -18 + 10 + 3y

Combine like terms: -18 + 10 = -8
8 + 12y = -8 + 3y

Solving
8 + 12y = -8 + 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.
8 + 12y + -3y = -8 + 3y + -3y

Combine like terms: 12y + -3y = 9y
8 + 9y = -8 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + 9y = -8 + 0
8 + 9y = -8

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

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

Combine like terms: -8 + -8 = -16
9y = -16

Divide each side by '9'.
y = -1.777777778

Simplifying
y = -1.777777778

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