(6y-16)=(4y+6)

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Solution for (6y-16)=(4y+6) equation:


Simplifying
(6y + -16) = (4y + 6)

Reorder the terms:
(-16 + 6y) = (4y + 6)

Remove parenthesis around (-16 + 6y)
-16 + 6y = (4y + 6)

Reorder the terms:
-16 + 6y = (6 + 4y)

Remove parenthesis around (6 + 4y)
-16 + 6y = 6 + 4y

Solving
-16 + 6y = 6 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-16 + 6y + -4y = 6 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-16 + 2y = 6 + 4y + -4y

Combine like terms: 4y + -4y = 0
-16 + 2y = 6 + 0
-16 + 2y = 6

Add '16' to each side of the equation.
-16 + 16 + 2y = 6 + 16

Combine like terms: -16 + 16 = 0
0 + 2y = 6 + 16
2y = 6 + 16

Combine like terms: 6 + 16 = 22
2y = 22

Divide each side by '2'.
y = 11

Simplifying
y = 11

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