2y+6y+9=7y-2

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Solution for 2y+6y+9=7y-2 equation:


Simplifying
2y + 6y + 9 = 7y + -2

Reorder the terms:
9 + 2y + 6y = 7y + -2

Combine like terms: 2y + 6y = 8y
9 + 8y = 7y + -2

Reorder the terms:
9 + 8y = -2 + 7y

Solving
9 + 8y = -2 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
9 + 8y + -7y = -2 + 7y + -7y

Combine like terms: 8y + -7y = 1y
9 + 1y = -2 + 7y + -7y

Combine like terms: 7y + -7y = 0
9 + 1y = -2 + 0
9 + 1y = -2

Add '-9' to each side of the equation.
9 + -9 + 1y = -2 + -9

Combine like terms: 9 + -9 = 0
0 + 1y = -2 + -9
1y = -2 + -9

Combine like terms: -2 + -9 = -11
1y = -11

Divide each side by '1'.
y = -11

Simplifying
y = -11

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