8y+4(5+y)=3(y-9)+10y

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Solution for 8y+4(5+y)=3(y-9)+10y equation: 


Simplifying
8y + 4(5 + y) = 3(y + -9) + 10y
8y + (5 * 4 + y * 4) = 3(y + -9) + 10y
8y + (20 + 4y) = 3(y + -9) + 10y

Reorder the terms:
20 + 8y + 4y = 3(y + -9) + 10y

Combine like terms: 8y + 4y = 12y
20 + 12y = 3(y + -9) + 10y

Reorder the terms:
20 + 12y = 3(-9 + y) + 10y
20 + 12y = (-9 * 3 + y * 3) + 10y
20 + 12y = (-27 + 3y) + 10y

Combine like terms: 3y + 10y = 13y
20 + 12y = -27 + 13y

Solving
20 + 12y = -27 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
20 + 12y + -13y = -27 + 13y + -13y

Combine like terms: 12y + -13y = -1y
20 + -1y = -27 + 13y + -13y

Combine like terms: 13y + -13y = 0
20 + -1y = -27 + 0
20 + -1y = -27

Add '-20' to each side of the equation.
20 + -20 + -1y = -27 + -20

Combine like terms: 20 + -20 = 0
0 + -1y = -27 + -20
-1y = -27 + -20

Combine like terms: -27 + -20 = -47
-1y = -47

Divide each side by '-1'.
y = 47

Simplifying
y = 47

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