7(y-1)=4y-16

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Solution for 7(y-1)=4y-16 equation:


Simplifying
7(y + -1) = 4y + -16

Reorder the terms:
7(-1 + y) = 4y + -16
(-1 * 7 + y * 7) = 4y + -16
(-7 + 7y) = 4y + -16

Reorder the terms:
-7 + 7y = -16 + 4y

Solving
-7 + 7y = -16 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-7 + 7y + -4y = -16 + 4y + -4y

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

Combine like terms: 4y + -4y = 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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