8y+4(4+y)=3(y-7)+10y

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Solution for 8y+4(4+y)=3(y-7)+10y equation: 


Simplifying
8y + 4(4 + y) = 3(y + -7) + 10y
8y + (4 * 4 + y * 4) = 3(y + -7) + 10y
8y + (16 + 4y) = 3(y + -7) + 10y

Reorder the terms:
16 + 8y + 4y = 3(y + -7) + 10y

Combine like terms: 8y + 4y = 12y
16 + 12y = 3(y + -7) + 10y

Reorder the terms:
16 + 12y = 3(-7 + y) + 10y
16 + 12y = (-7 * 3 + y * 3) + 10y
16 + 12y = (-21 + 3y) + 10y

Combine like terms: 3y + 10y = 13y
16 + 12y = -21 + 13y

Solving
16 + 12y = -21 + 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.
16 + 12y + -13y = -21 + 13y + -13y

Combine like terms: 12y + -13y = -1y
16 + -1y = -21 + 13y + -13y

Combine like terms: 13y + -13y = 0
16 + -1y = -21 + 0
16 + -1y = -21

Add '-16' to each side of the equation.
16 + -16 + -1y = -21 + -16

Combine like terms: 16 + -16 = 0
0 + -1y = -21 + -16
-1y = -21 + -16

Combine like terms: -21 + -16 = -37
-1y = -37

Divide each side by '-1'.
y = 37

Simplifying
y = 37

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