3y-4=4(y-5)

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Solution for 3y-4=4(y-5) equation:


Simplifying
3y + -4 = 4(y + -5)

Reorder the terms:
-4 + 3y = 4(y + -5)

Reorder the terms:
-4 + 3y = 4(-5 + y)
-4 + 3y = (-5 * 4 + y * 4)
-4 + 3y = (-20 + 4y)

Solving
-4 + 3y = -20 + 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.
-4 + 3y + -4y = -20 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-4 + -1y = -20 + 4y + -4y

Combine like terms: 4y + -4y = 0
-4 + -1y = -20 + 0
-4 + -1y = -20

Add '4' to each side of the equation.
-4 + 4 + -1y = -20 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = -20 + 4
-1y = -20 + 4

Combine like terms: -20 + 4 = -16
-1y = -16

Divide each side by '-1'.
y = 16

Simplifying
y = 16

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