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

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


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

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

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

Reorder the terms:
-4 + 9y = 3(3 + 2y)
-4 + 9y = (3 * 3 + 2y * 3)
-4 + 9y = (9 + 6y)

Solving
-4 + 9y = 9 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-4 + 9y + -6y = 9 + 6y + -6y

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

Combine like terms: 6y + -6y = 0
-4 + 3y = 9 + 0
-4 + 3y = 9

Add '4' to each side of the equation.
-4 + 4 + 3y = 9 + 4

Combine like terms: -4 + 4 = 0
0 + 3y = 9 + 4
3y = 9 + 4

Combine like terms: 9 + 4 = 13
3y = 13

Divide each side by '3'.
y = 4.333333333

Simplifying
y = 4.333333333

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