6y+7=2y-9

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


Simplifying
6y + 7 = 2y + -9

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

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

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

Combine like terms: 6y + -2y = 4y
7 + 4y = -9 + 2y + -2y

Combine like terms: 2y + -2y = 0
7 + 4y = -9 + 0
7 + 4y = -9

Add '-7' to each side of the equation.
7 + -7 + 4y = -9 + -7

Combine like terms: 7 + -7 = 0
0 + 4y = -9 + -7
4y = -9 + -7

Combine like terms: -9 + -7 = -16
4y = -16

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

Simplifying
y = -4

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