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

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


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

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

Remove parenthesis around (-4 + 7y)
-4 + 7y = (2y + 6)

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

Remove parenthesis around (6 + 2y)
-4 + 7y = 6 + 2y

Solving
-4 + 7y = 6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-4 + 7y + -2y = 6 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-4 + 5y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-4 + 5y = 6 + 0
-4 + 5y = 6

Add '4' to each side of the equation.
-4 + 4 + 5y = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 5y = 6 + 4
5y = 6 + 4

Combine like terms: 6 + 4 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2

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