8y+4(3+y)=3(y-5)+10

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Solution for 8y+4(3+y)=3(y-5)+10 equation: 


Simplifying
8y + 4(3 + y) = 3(y + -5) + 10
8y + (3 * 4 + y * 4) = 3(y + -5) + 10
8y + (12 + 4y) = 3(y + -5) + 10

Reorder the terms:
12 + 8y + 4y = 3(y + -5) + 10

Combine like terms: 8y + 4y = 12y
12 + 12y = 3(y + -5) + 10

Reorder the terms:
12 + 12y = 3(-5 + y) + 10
12 + 12y = (-5 * 3 + y * 3) + 10
12 + 12y = (-15 + 3y) + 10

Reorder the terms:
12 + 12y = -15 + 10 + 3y

Combine like terms: -15 + 10 = -5
12 + 12y = -5 + 3y

Solving
12 + 12y = -5 + 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.
12 + 12y + -3y = -5 + 3y + -3y

Combine like terms: 12y + -3y = 9y
12 + 9y = -5 + 3y + -3y

Combine like terms: 3y + -3y = 0
12 + 9y = -5 + 0
12 + 9y = -5

Add '-12' to each side of the equation.
12 + -12 + 9y = -5 + -12

Combine like terms: 12 + -12 = 0
0 + 9y = -5 + -12
9y = -5 + -12

Combine like terms: -5 + -12 = -17
9y = -17

Divide each side by '9'.
y = -1.888888889

Simplifying
y = -1.888888889

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