4(5y-2)=6(4y-4)

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Solution for 4(5y-2)=6(4y-4) equation:


Simplifying
4(5y + -2) = 6(4y + -4)

Reorder the terms:
4(-2 + 5y) = 6(4y + -4)
(-2 * 4 + 5y * 4) = 6(4y + -4)
(-8 + 20y) = 6(4y + -4)

Reorder the terms:
-8 + 20y = 6(-4 + 4y)
-8 + 20y = (-4 * 6 + 4y * 6)
-8 + 20y = (-24 + 24y)

Solving
-8 + 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.
-8 + 20y + -24y = -24 + 24y + -24y

Combine like terms: 20y + -24y = -4y
-8 + -4y = -24 + 24y + -24y

Combine like terms: 24y + -24y = 0
-8 + -4y = -24 + 0
-8 + -4y = -24

Add '8' to each side of the equation.
-8 + 8 + -4y = -24 + 8

Combine like terms: -8 + 8 = 0
0 + -4y = -24 + 8
-4y = -24 + 8

Combine like terms: -24 + 8 = -16
-4y = -16

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

Simplifying
y = 4

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