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

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


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

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

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

Combine like terms: 7y + 4y = 11y
-28 + 11y = 5(y + 2) + -5

Reorder the terms:
-28 + 11y = 5(2 + y) + -5
-28 + 11y = (2 * 5 + y * 5) + -5
-28 + 11y = (10 + 5y) + -5

Reorder the terms:
-28 + 11y = 10 + -5 + 5y

Combine like terms: 10 + -5 = 5
-28 + 11y = 5 + 5y

Solving
-28 + 11y = 5 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-28 + 11y + -5y = 5 + 5y + -5y

Combine like terms: 11y + -5y = 6y
-28 + 6y = 5 + 5y + -5y

Combine like terms: 5y + -5y = 0
-28 + 6y = 5 + 0
-28 + 6y = 5

Add '28' to each side of the equation.
-28 + 28 + 6y = 5 + 28

Combine like terms: -28 + 28 = 0
0 + 6y = 5 + 28
6y = 5 + 28

Combine like terms: 5 + 28 = 33
6y = 33

Divide each side by '6'.
y = 5.5

Simplifying
y = 5.5

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