5y+4(y-7)=3(y+2)-5

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Solution for 5y+4(y-7)=3(y+2)-5 equation: 


Simplifying
5y + 4(y + -7) = 3(y + 2) + -5

Reorder the terms:
5y + 4(-7 + y) = 3(y + 2) + -5
5y + (-7 * 4 + y * 4) = 3(y + 2) + -5
5y + (-28 + 4y) = 3(y + 2) + -5

Reorder the terms:
-28 + 5y + 4y = 3(y + 2) + -5

Combine like terms: 5y + 4y = 9y
-28 + 9y = 3(y + 2) + -5

Reorder the terms:
-28 + 9y = 3(2 + y) + -5
-28 + 9y = (2 * 3 + y * 3) + -5
-28 + 9y = (6 + 3y) + -5

Reorder the terms:
-28 + 9y = 6 + -5 + 3y

Combine like terms: 6 + -5 = 1
-28 + 9y = 1 + 3y

Solving
-28 + 9y = 1 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.
-28 + 9y + -3y = 1 + 3y + -3y

Combine like terms: 9y + -3y = 6y
-28 + 6y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-28 + 6y = 1 + 0
-28 + 6y = 1

Add '28' to each side of the equation.
-28 + 28 + 6y = 1 + 28

Combine like terms: -28 + 28 = 0
0 + 6y = 1 + 28
6y = 1 + 28

Combine like terms: 1 + 28 = 29
6y = 29

Divide each side by '6'.
y = 4.833333333

Simplifying
y = 4.833333333

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