7y-6=9y-13

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Solution for 7y-6=9y-13 equation:


Simplifying
7y + -6 = 9y + -13

Reorder the terms:
-6 + 7y = 9y + -13

Reorder the terms:
-6 + 7y = -13 + 9y

Solving
-6 + 7y = -13 + 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.
-6 + 7y + -9y = -13 + 9y + -9y

Combine like terms: 7y + -9y = -2y
-6 + -2y = -13 + 9y + -9y

Combine like terms: 9y + -9y = 0
-6 + -2y = -13 + 0
-6 + -2y = -13

Add '6' to each side of the equation.
-6 + 6 + -2y = -13 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = -13 + 6
-2y = -13 + 6

Combine like terms: -13 + 6 = -7
-2y = -7

Divide each side by '-2'.
y = 3.5

Simplifying
y = 3.5

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