4=7(y+4)-4y

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


Simplifying
4 = 7(y + 4) + -4y

Reorder the terms:
4 = 7(4 + y) + -4y
4 = (4 * 7 + y * 7) + -4y
4 = (28 + 7y) + -4y

Combine like terms: 7y + -4y = 3y
4 = 28 + 3y

Solving
4 = 28 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
4 + -3y = 28 + 3y + -3y

Combine like terms: 3y + -3y = 0
4 + -3y = 28 + 0
4 + -3y = 28

Add '-4' to each side of the equation.
4 + -4 + -3y = 28 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = 28 + -4
-3y = 28 + -4

Combine like terms: 28 + -4 = 24
-3y = 24

Divide each side by '-3'.
y = -8

Simplifying
y = -8

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