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

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


Simplifying
7y + -1(4 + -2y) = 3(y + 3) + 5
7y + (4 * -1 + -2y * -1) = 3(y + 3) + 5
7y + (-4 + 2y) = 3(y + 3) + 5

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

Combine like terms: 7y + 2y = 9y
-4 + 9y = 3(y + 3) + 5

Reorder the terms:
-4 + 9y = 3(3 + y) + 5
-4 + 9y = (3 * 3 + y * 3) + 5
-4 + 9y = (9 + 3y) + 5

Reorder the terms:
-4 + 9y = 9 + 5 + 3y

Combine like terms: 9 + 5 = 14
-4 + 9y = 14 + 3y

Solving
-4 + 9y = 14 + 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.
-4 + 9y + -3y = 14 + 3y + -3y

Combine like terms: 9y + -3y = 6y
-4 + 6y = 14 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + 6y = 14 + 0
-4 + 6y = 14

Add '4' to each side of the equation.
-4 + 4 + 6y = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 6y = 14 + 4
6y = 14 + 4

Combine like terms: 14 + 4 = 18
6y = 18

Divide each side by '6'.
y = 3

Simplifying
y = 3

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