7y-20=4(y-8)

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Solution for 7y-20=4(y-8) equation:


Simplifying
7y + -20 = 4(y + -8)

Reorder the terms:
-20 + 7y = 4(y + -8)

Reorder the terms:
-20 + 7y = 4(-8 + y)
-20 + 7y = (-8 * 4 + y * 4)
-20 + 7y = (-32 + 4y)

Solving
-20 + 7y = -32 + 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.
-20 + 7y + -4y = -32 + 4y + -4y

Combine like terms: 7y + -4y = 3y
-20 + 3y = -32 + 4y + -4y

Combine like terms: 4y + -4y = 0
-20 + 3y = -32 + 0
-20 + 3y = -32

Add '20' to each side of the equation.
-20 + 20 + 3y = -32 + 20

Combine like terms: -20 + 20 = 0
0 + 3y = -32 + 20
3y = -32 + 20

Combine like terms: -32 + 20 = -12
3y = -12

Divide each side by '3'.
y = -4

Simplifying
y = -4

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