(6y-9)=-2y+13

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Solution for (6y-9)=-2y+13 equation:


Simplifying
(6y + -9) = -2y + 13

Reorder the terms:
(-9 + 6y) = -2y + 13

Remove parenthesis around (-9 + 6y)
-9 + 6y = -2y + 13

Reorder the terms:
-9 + 6y = 13 + -2y

Solving
-9 + 6y = 13 + -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 + 6y + 2y = 13 + -2y + 2y

Combine like terms: 6y + 2y = 8y
-9 + 8y = 13 + -2y + 2y

Combine like terms: -2y + 2y = 0
-9 + 8y = 13 + 0
-9 + 8y = 13

Add '9' to each side of the equation.
-9 + 9 + 8y = 13 + 9

Combine like terms: -9 + 9 = 0
0 + 8y = 13 + 9
8y = 13 + 9

Combine like terms: 13 + 9 = 22
8y = 22

Divide each side by '8'.
y = 2.75

Simplifying
y = 2.75

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