6y+7=9y-5

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Solution for 6y+7=9y-5 equation:


Simplifying
6y + 7 = 9y + -5

Reorder the terms:
7 + 6y = 9y + -5

Reorder the terms:
7 + 6y = -5 + 9y

Solving
7 + 6y = -5 + 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.
7 + 6y + -9y = -5 + 9y + -9y

Combine like terms: 6y + -9y = -3y
7 + -3y = -5 + 9y + -9y

Combine like terms: 9y + -9y = 0
7 + -3y = -5 + 0
7 + -3y = -5

Add '-7' to each side of the equation.
7 + -7 + -3y = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = -5 + -7
-3y = -5 + -7

Combine like terms: -5 + -7 = -12
-3y = -12

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

Simplifying
y = 4

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