6y-2=9y+10

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Solution for 6y-2=9y+10 equation:


Simplifying
6y + -2 = 9y + 10

Reorder the terms:
-2 + 6y = 9y + 10

Reorder the terms:
-2 + 6y = 10 + 9y

Solving
-2 + 6y = 10 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-2 + 6y + -9y = 10 + 9y + -9y

Combine like terms: 6y + -9y = -3y
-2 + -3y = 10 + 9y + -9y

Combine like terms: 9y + -9y = 0
-2 + -3y = 10 + 0
-2 + -3y = 10

Add '2' to each side of the equation.
-2 + 2 + -3y = 10 + 2

Combine like terms: -2 + 2 = 0
0 + -3y = 10 + 2
-3y = 10 + 2

Combine like terms: 10 + 2 = 12
-3y = 12

Divide each side by '-3'.
y = -4

Simplifying
y = -4

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