7y+3(y-8)=4(y+2)-3

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Solution for 7y+3(y-8)=4(y+2)-3 equation: 


Simplifying
7y + 3(y + -8) = 4(y + 2) + -3

Reorder the terms:
7y + 3(-8 + y) = 4(y + 2) + -3
7y + (-8 * 3 + y * 3) = 4(y + 2) + -3
7y + (-24 + 3y) = 4(y + 2) + -3

Reorder the terms:
-24 + 7y + 3y = 4(y + 2) + -3

Combine like terms: 7y + 3y = 10y
-24 + 10y = 4(y + 2) + -3

Reorder the terms:
-24 + 10y = 4(2 + y) + -3
-24 + 10y = (2 * 4 + y * 4) + -3
-24 + 10y = (8 + 4y) + -3

Reorder the terms:
-24 + 10y = 8 + -3 + 4y

Combine like terms: 8 + -3 = 5
-24 + 10y = 5 + 4y

Solving
-24 + 10y = 5 + 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 + 10y + -4y = 5 + 4y + -4y

Combine like terms: 10y + -4y = 6y
-24 + 6y = 5 + 4y + -4y

Combine like terms: 4y + -4y = 0
-24 + 6y = 5 + 0
-24 + 6y = 5

Add '24' to each side of the equation.
-24 + 24 + 6y = 5 + 24

Combine like terms: -24 + 24 = 0
0 + 6y = 5 + 24
6y = 5 + 24

Combine like terms: 5 + 24 = 29
6y = 29

Divide each side by '6'.
y = 4.833333333

Simplifying
y = 4.833333333

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