4[3(y+8)]=14y+100

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Solution for 4[3(y+8)]=14y+100 equation: 


Simplifying
4[3(y + 8)] = 14y + 100

Reorder the terms:
4[3(8 + y)] = 14y + 100
4[(8 * 3 + y * 3)] = 14y + 100
4[(24 + 3y)] = 14y + 100
[24 * 4 + 3y * 4] = 14y + 100
[96 + 12y] = 14y + 100

Reorder the terms:
96 + 12y = 100 + 14y

Solving
96 + 12y = 100 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
96 + 12y + -14y = 100 + 14y + -14y

Combine like terms: 12y + -14y = -2y
96 + -2y = 100 + 14y + -14y

Combine like terms: 14y + -14y = 0
96 + -2y = 100 + 0
96 + -2y = 100

Add '-96' to each side of the equation.
96 + -96 + -2y = 100 + -96

Combine like terms: 96 + -96 = 0
0 + -2y = 100 + -96
-2y = 100 + -96

Combine like terms: 100 + -96 = 4
-2y = 4

Divide each side by '-2'.
y = -2

Simplifying
y = -2

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