4(5y-1)=6(4y-4)

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Solution for 4(5y-1)=6(4y-4) equation:


Simplifying
4(5y + -1) = 6(4y + -4)

Reorder the terms:
4(-1 + 5y) = 6(4y + -4)
(-1 * 4 + 5y * 4) = 6(4y + -4)
(-4 + 20y) = 6(4y + -4)

Reorder the terms:
-4 + 20y = 6(-4 + 4y)
-4 + 20y = (-4 * 6 + 4y * 6)
-4 + 20y = (-24 + 24y)

Solving
-4 + 20y = -24 + 24y

Solving for variable 'y'.

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

Add '-24y' to each side of the equation.
-4 + 20y + -24y = -24 + 24y + -24y

Combine like terms: 20y + -24y = -4y
-4 + -4y = -24 + 24y + -24y

Combine like terms: 24y + -24y = 0
-4 + -4y = -24 + 0
-4 + -4y = -24

Add '4' to each side of the equation.
-4 + 4 + -4y = -24 + 4

Combine like terms: -4 + 4 = 0
0 + -4y = -24 + 4
-4y = -24 + 4

Combine like terms: -24 + 4 = -20
-4y = -20

Divide each side by '-4'.
y = 5

Simplifying
y = 5

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