7-4(4-(3y-7))=0

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Solution for 7-4(4-(3y-7))=0 equation:


Simplifying
7 + -4(4 + -1(3y + -7)) = 0

Reorder the terms:
7 + -4(4 + -1(-7 + 3y)) = 0
7 + -4(4 + (-7 * -1 + 3y * -1)) = 0
7 + -4(4 + (7 + -3y)) = 0

Combine like terms: 4 + 7 = 11
7 + -4(11 + -3y) = 0
7 + (11 * -4 + -3y * -4) = 0
7 + (-44 + 12y) = 0

Combine like terms: 7 + -44 = -37
-37 + 12y = 0

Solving
-37 + 12y = 0

Solving for variable 'y'.

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

Add '37' to each side of the equation.
-37 + 37 + 12y = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 12y = 0 + 37
12y = 0 + 37

Combine like terms: 0 + 37 = 37
12y = 37

Divide each side by '12'.
y = 3.083333333

Simplifying
y = 3.083333333

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