5y+4(y-7)=4(y+2)-4

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Solution for 5y+4(y-7)=4(y+2)-4 equation: 


Simplifying
5y + 4(y + -7) = 4(y + 2) + -4

Reorder the terms:
5y + 4(-7 + y) = 4(y + 2) + -4
5y + (-7 * 4 + y * 4) = 4(y + 2) + -4
5y + (-28 + 4y) = 4(y + 2) + -4

Reorder the terms:
-28 + 5y + 4y = 4(y + 2) + -4

Combine like terms: 5y + 4y = 9y
-28 + 9y = 4(y + 2) + -4

Reorder the terms:
-28 + 9y = 4(2 + y) + -4
-28 + 9y = (2 * 4 + y * 4) + -4
-28 + 9y = (8 + 4y) + -4

Reorder the terms:
-28 + 9y = 8 + -4 + 4y

Combine like terms: 8 + -4 = 4
-28 + 9y = 4 + 4y

Solving
-28 + 9y = 4 + 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.
-28 + 9y + -4y = 4 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-28 + 5y = 4 + 4y + -4y

Combine like terms: 4y + -4y = 0
-28 + 5y = 4 + 0
-28 + 5y = 4

Add '28' to each side of the equation.
-28 + 28 + 5y = 4 + 28

Combine like terms: -28 + 28 = 0
0 + 5y = 4 + 28
5y = 4 + 28

Combine like terms: 4 + 28 = 32
5y = 32

Divide each side by '5'.
y = 6.4

Simplifying
y = 6.4

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