13(y-7)=3(4y+3)-100

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Solution for 13(y-7)=3(4y+3)-100 equation: 


Simplifying
13(y + -7) = 3(4y + 3) + -100

Reorder the terms:
13(-7 + y) = 3(4y + 3) + -100
(-7 * 13 + y * 13) = 3(4y + 3) + -100
(-91 + 13y) = 3(4y + 3) + -100

Reorder the terms:
-91 + 13y = 3(3 + 4y) + -100
-91 + 13y = (3 * 3 + 4y * 3) + -100
-91 + 13y = (9 + 12y) + -100

Reorder the terms:
-91 + 13y = 9 + -100 + 12y

Combine like terms: 9 + -100 = -91
-91 + 13y = -91 + 12y

Add '91' to each side of the equation.
-91 + 91 + 13y = -91 + 91 + 12y

Combine like terms: -91 + 91 = 0
0 + 13y = -91 + 91 + 12y
13y = -91 + 91 + 12y

Combine like terms: -91 + 91 = 0
13y = 0 + 12y
13y = 12y

Solving
13y = 12y

Solving for variable 'y'.

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

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

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

Combine like terms: 12y + -12y = 0
1y = 0

Divide each side by '1'.
y = 0

Simplifying
y = 0

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