5y+2=9y-6

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Solution for 5y+2=9y-6 equation:


Simplifying
5y + 2 = 9y + -6

Reorder the terms:
2 + 5y = 9y + -6

Reorder the terms:
2 + 5y = -6 + 9y

Solving
2 + 5y = -6 + 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 + 5y + -9y = -6 + 9y + -9y

Combine like terms: 5y + -9y = -4y
2 + -4y = -6 + 9y + -9y

Combine like terms: 9y + -9y = 0
2 + -4y = -6 + 0
2 + -4y = -6

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

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

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

Divide each side by '-4'.
y = 2

Simplifying
y = 2

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