5y+(4y-8)=4(y+2)-2

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Solution for 5y+(4y-8)=4(y+2)-2 equation: 


Simplifying
5y + (4y + -8) = 4(y + 2) + -2

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

Remove parenthesis around (-8 + 4y)
5y + -8 + 4y = 4(y + 2) + -2

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

Combine like terms: 5y + 4y = 9y
-8 + 9y = 4(y + 2) + -2

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

Reorder the terms:
-8 + 9y = 8 + -2 + 4y

Combine like terms: 8 + -2 = 6
-8 + 9y = 6 + 4y

Solving
-8 + 9y = 6 + 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.
-8 + 9y + -4y = 6 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-8 + 5y = 6 + 4y + -4y

Combine like terms: 4y + -4y = 0
-8 + 5y = 6 + 0
-8 + 5y = 6

Add '8' to each side of the equation.
-8 + 8 + 5y = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 5y = 6 + 8
5y = 6 + 8

Combine like terms: 6 + 8 = 14
5y = 14

Divide each side by '5'.
y = 2.8

Simplifying
y = 2.8

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