-7=4(y-4)-7y

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


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

Reorder the terms:
-7 = 4(-4 + y) + -7y
-7 = (-4 * 4 + y * 4) + -7y
-7 = (-16 + 4y) + -7y

Combine like terms: 4y + -7y = -3y
-7 = -16 + -3y

Solving
-7 = -16 + -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.
-7 + 3y = -16 + -3y + 3y

Combine like terms: -3y + 3y = 0
-7 + 3y = -16 + 0
-7 + 3y = -16

Add '7' to each side of the equation.
-7 + 7 + 3y = -16 + 7

Combine like terms: -7 + 7 = 0
0 + 3y = -16 + 7
3y = -16 + 7

Combine like terms: -16 + 7 = -9
3y = -9

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

Simplifying
y = -3

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