7y-(4-2y)=3(y+3)-1

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Solution for 7y-(4-2y)=3(y+3)-1 equation: 


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

Reorder the terms:
-4 + 7y + 2y = 3(y + 3) + -1

Combine like terms: 7y + 2y = 9y
-4 + 9y = 3(y + 3) + -1

Reorder the terms:
-4 + 9y = 3(3 + y) + -1
-4 + 9y = (3 * 3 + y * 3) + -1
-4 + 9y = (9 + 3y) + -1

Reorder the terms:
-4 + 9y = 9 + -1 + 3y

Combine like terms: 9 + -1 = 8
-4 + 9y = 8 + 3y

Solving
-4 + 9y = 8 + 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 = 8 + 3y + -3y

Combine like terms: 9y + -3y = 6y
-4 + 6y = 8 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + 6y = 8 + 0
-4 + 6y = 8

Add '4' to each side of the equation.
-4 + 4 + 6y = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 6y = 8 + 4
6y = 8 + 4

Combine like terms: 8 + 4 = 12
6y = 12

Divide each side by '6'.
y = 2

Simplifying
y = 2

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