6y-(4-2y)=3(7+2y)

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Solution for 6y-(4-2y)=3(7+2y) equation:


Simplifying
6y + -1(4 + -2y) = 3(7 + 2y)
6y + (4 * -1 + -2y * -1) = 3(7 + 2y)
6y + (-4 + 2y) = 3(7 + 2y)

Reorder the terms:
-4 + 6y + 2y = 3(7 + 2y)

Combine like terms: 6y + 2y = 8y
-4 + 8y = 3(7 + 2y)
-4 + 8y = (7 * 3 + 2y * 3)
-4 + 8y = (21 + 6y)

Solving
-4 + 8y = 21 + 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 + 8y + -6y = 21 + 6y + -6y

Combine like terms: 8y + -6y = 2y
-4 + 2y = 21 + 6y + -6y

Combine like terms: 6y + -6y = 0
-4 + 2y = 21 + 0
-4 + 2y = 21

Add '4' to each side of the equation.
-4 + 4 + 2y = 21 + 4

Combine like terms: -4 + 4 = 0
0 + 2y = 21 + 4
2y = 21 + 4

Combine like terms: 21 + 4 = 25
2y = 25

Divide each side by '2'.
y = 12.5

Simplifying
y = 12.5

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