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

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


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

Reorder the terms:
5y + 4(-6 + y) = 4(y + -2) + -4
5y + (-6 * 4 + y * 4) = 4(y + -2) + -4
5y + (-24 + 4y) = 4(y + -2) + -4

Reorder the terms:
-24 + 5y + 4y = 4(y + -2) + -4

Combine like terms: 5y + 4y = 9y
-24 + 9y = 4(y + -2) + -4

Reorder the terms:
-24 + 9y = 4(-2 + y) + -4
-24 + 9y = (-2 * 4 + y * 4) + -4
-24 + 9y = (-8 + 4y) + -4

Reorder the terms:
-24 + 9y = -8 + -4 + 4y

Combine like terms: -8 + -4 = -12
-24 + 9y = -12 + 4y

Solving
-24 + 9y = -12 + 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.
-24 + 9y + -4y = -12 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-24 + 5y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
-24 + 5y = -12 + 0
-24 + 5y = -12

Add '24' to each side of the equation.
-24 + 24 + 5y = -12 + 24

Combine like terms: -24 + 24 = 0
0 + 5y = -12 + 24
5y = -12 + 24

Combine like terms: -12 + 24 = 12
5y = 12

Divide each side by '5'.
y = 2.4

Simplifying
y = 2.4

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