(6y)-(2y+9)=(8y+6)-(6y)

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Solution for (6y)-(2y+9)=(8y+6)-(6y) equation:


Simplifying
(6y) + -1(2y + 9) = (8y + 6) + -1(6y)

Reorder the terms:
(6y) + -1(9 + 2y) = (8y + 6) + -1(6y)
(6y) + (9 * -1 + 2y * -1) = (8y + 6) + -1(6y)
(6y) + (-9 + -2y) = (8y + 6) + -1(6y)

Reorder the terms:
-9 + (6y) + -2y = (8y + 6) + -1(6y)

Combine like terms: (6y) + -2y = 4y
-9 + 4y = (8y + 6) + -1(6y)

Reorder the terms:
-9 + 4y = (6 + 8y) + -1(6y)

Remove parenthesis around (6 + 8y)
-9 + 4y = 6 + 8y + -1(6y)

Remove parenthesis around (6y)
-9 + 4y = 6 + 8y + -1 * 6y

Multiply -1 * 6
-9 + 4y = 6 + 8y + -6y

Combine like terms: 8y + -6y = 2y
-9 + 4y = 6 + 2y

Solving
-9 + 4y = 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.
-9 + 4y + -2y = 6 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-9 + 2y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-9 + 2y = 6 + 0
-9 + 2y = 6

Add '9' to each side of the equation.
-9 + 9 + 2y = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 2y = 6 + 9
2y = 6 + 9

Combine like terms: 6 + 9 = 15
2y = 15

Divide each side by '2'.
y = 7.5

Simplifying
y = 7.5

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